ABDELHAMID Tallab

بوراس فاتح

Les opérateurs multilinéaires entre les espaces asymétriques normés

عيلان فريد , بوجلال فارس

Unbounded linear operators having self-adjoint powers and some related results

كشيدة مروة

On n-Bounded and n-Continuous Operators in n-Normed space

واضح شروق

Relationship between T and u in ∇T for other types of summability

بلحوت سامس

On the gap between closed linear operators

صياد صبرينة

http://dspace.univ-msila.dz:8080/xmlui/handle/123456789/40744

لعقعاق الهام

On bounded linear operators between quasi-normed linear spaces

بابش نور الهدى

On the ideal of two- Lipschitz operators

Ali Maamra

Factorization and summability of some nonlinear operators

Lamiche Abir

Les relations linéaires sur les espaces normés

Salah Benramache

Sur les espaces b-métriques

Soumia Marouf

Version générale du théorème de domination de Pietsch

Douffi Zoulikha

Espaces Lipschitz libres et extension des applications Lipschitziennes

Belhout Azzouz

Sur les opérateurs tau(p)-sommants

Darraf Fadila

les opérateurs linéaires (q,p,Y)-sommants

In this work, we introduce and investigate a new notion of summability in the framework of Bloch maps, leading to the class of \tau (p; q)-summing Bloch maps. We establish several characterizations of these maps through the Pietsch Domination property, and we emphasize key features such as the injective Banach ideal property and the Möbius invariance. Moreover, we examine the connections between \tau (p; q)-summability and other classical notions, including (p; r; s)-summability, strong (p; \sigma)-absolute continuity, and compactness within the context of Bloch maps.

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Abdelhamid Tallab , ,(2025-12-15), Some Properties of $\Tau(P,Q)$-Summing Bloch Maps,2nd International Conference Mohand Moussaoui on Applied Mathematics and Modeling (ICMAM’25),Guelma, Algeria

We introduce and study the concept of factorable strongly p-nuclear Bloch maps, a novel class of mappings in the category of Bloch functions. We provide several characterizations of these maps, including a Pietsch-type domination theorem and connections to p-nuclear linear operators via their linearization and transposition. Key properties such as Möbius invariance and duality by applying the theory on tensor products are established. We also investigate the injective Banach ideal structure of these maps and their Bloch weak compactness properties. The results extend known theory on Bloch mappings, offering new insights into their interplay.

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Abdelhamid Tallab , , (2025-11-17), COLLOQUIUM MATHEMATICUM, ON THE FACTORABLE STRONG p-NUCLEARITY OF BLOCH MAPS, Vol:179, Issue:2, pages:213-231, Instytut Matematyczny Polskiej Akademii Nauk

We prove that every bilinear Lipschitz map—Lipschitz in the metric space variable X and linear in the Banach space variable E—can be expressed as the composition of a canonical two-Lipschitz map with a bounded linear operator. Moreover, this correspondence induces an isometric isomorphism between the space of such two- Lipschitz mappings and the space of bounded linear operators. As applications, we establish results for composition ideals of two-Lipschitz operators, including Cohen strongly two-Lipschitz p-summing, two-Lipschitz factorable strongly p-summing and two-Lipschitz factorable strongly p-nuclear operators.

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Abdelhamid Tallab , , (2025-09-12), Tensor Representations of Two-Lipschitz Operator Ideals by Trace Duality, Complex Analysis and Operator Theory, Vol:19, Issue:181, pages:34, springer

I have attended as invited

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Abdelhamid Tallab , ,(2025-06-22), participant,The first workshop on nonlinear PDEs and applications,university of BBA

In this paper, we introduce the concept of T -normed space in a non-Archimedean space, which is called a non-Archimedean T -normed space and give some properties. After that we prove a common fixed point theorem in a complete non-Archimedean T –normed space for two R-weakly commuting mappings.

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Abdelhamid Tallab , Bureau de la stratégie de numérisation , , (2025-01-12), Fixed Point in Non-Archimedeant T-Banach Spaces, International Journal of Applied Mathematics and Simulation, Vol:2, Issue:2, pages:42-47, University of Biskra

هذه المحاضرات موجهة لطلبة السنة الثالثة رياضيات وتضم المعادلات التفاضلية وجمل المعادلات التفاضلية

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AbdelhamidTallab , ,(2024-12-15); Les équations différentielles,University of M'sila,

The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identifica-tion of two-Lipschitz operators and Lipschitz operators. After definingand characterizing the adjoint of a two-Lipschitz operator, we prove aSchauder type theorem on the compactness of the adjoint. We studythe extension of two-Lipschitz operators from the cartesian product oftwo complemented subspaces of a Banach space to the cartesian prod-uct of whole spaces. Also, we show that every two-Lipschitz functionaldefined on the cartesian product of two pointed metric spaces admits anextension with the same two-Lipschitz norm under some requirementson domaine spaces.

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Abdelhamid Tallab , , (2024-12-12), An interpolative class of two-Lipschitz mappings of composition type, Applied General Topology, Vol:25, Issue:2, pages:75-489, AGT, UPV,2024

The theory of linear operators is considered as one of the most useful and interesting mathematical theories in real or complex functional analysis. This theory has received a lot of attention and its importance over the real or complex fields has led many researchers to try and extend this concept to Several fields.

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Abdelhamid Tallab , ,(2024-10-23), Some results of unbounded operators in asymmetric normed spaces,8 th M’Sila Conference on Mathematical Analysis Banach spaces and operator theory, M’sila, October 23rd, 2024,University of M'sila

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Abdelhamid Tallab , ,(2023-12-06), ON GAP OF CLOSABLE UNBOUNDED LINEAR OPERATORS BETWEEN ASYMMETRIC NORMED SPACES,IWAM2023,Constantine-Algeria

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Abdelhamid Tallab , ,(2023-05-03), الرياضيات والمجتمع,الحياة المدرسية,جامعة المسيلة

In this communication, we present and study the continuity of linear relations defined on asymmetric normed spaces with values in normed spaces by giving some geometric charactirization of this mappings and we prove the Banach- Steinhaus theorem in the framework of asymmetric normed spaces

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Abdelhamid Tallab , ,(2022-12-05), On multivalued mappings between asymmetric normed spaces,IWAM2022 International Workshop.,University of Constantine

In this paper, we introduce the new ideal of the weakly mid-(p1,...,pm)-summing multilinear operators as multilinear version of weakly mid-p- summing linear operators. Using the space of mid-p-summable sequences, we present a characterization given by summability property. Also, we give an analogue of the Pietsch domination theorem for this new class of operators.

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Abdelhamid Tallab , , (2022), Weakly mid-(p_1,…,p_m)-summing multilinear operators, khayyam journal of mathematics, Vol:8, Issue:2, pages:219-227, CCBY-NC

We study the continuity of linear relations defined on asymmetric normed spaces with values in normed spaces. We give some geometric charactirization of these mappings. As an application, we prove the Banach-Steinhaus theorem in the framework of asymmetric normed spaces.

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Abdelhamid Tallab , Dahia Elhadj, Khaled Bouadjila, , (2022), Banach-Steinhaus theorem for linear relations on asymmetric normed spaces, Carpathian Mathematical Publications, Vol:14, Issue:1, pages:230-237, sciendo

In this presentation, we introduce the new ideal of the weakly mid-(p1,...,pm)-summing multilinear operators as multilinear version of weakly mid-p- summing linear operators. Using the space of mid-p-summable sequences, we present a characterization given by summability property. Also, we give an analogue of the Pietsch domination theorem for this new class of operators.

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Abdelhamid Tallab , ,(2022), On weakly mid-(p_1,…,p_m)-summing multilinear operators,Rencontre d'analyse mathématiques et ses applications,University of M'sila

In this paper, we introduce and study the notion of Lipschitz p-lattice summing operators in the category of Lipschitz operators which generalizes the class of p-lattice summing operators in the linear case. Some interesting properties are given. Also, some connections with other classes of operators are presented.

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Abdelhamid Tallab , Lahcene MEZRAG , Ali Maamra , , (2021), Lipschitz p-lattice summing operators, advances operators theory, Vol:6, Issue:4, pages:20, spriger

In this we study the continuity of linear relations between quasi normed spaces .

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Abdelhamid Tallab , ,(2021), Linear relation between quasi-normed spaces,MINI-CONGRÈS DES MATHÉMATICIENS ALGÉRIENS (MCMA’2021),University of M'sila

In this paper, we introduce the notion of ( q , p )-mixing operators from the injective tensor product space E ̂⊗ ∈F into a Banach space G which we call ( q , p , F )-mixing. In particular, we extend the notion of ( q , p , E )-summing operators which is a special case of ( q , p , F )-mixing operators to Lipschitz case by studying their properties and showing some results for this notion.

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Abdelhamid Tallab , , (2020), Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces, Moroccan Journal of Pure and Applied Analysis, Vol:6, Issue:, pages:127-14, siendo

We introduce and investigate the concept of two-Lipschitz operator ideal between pointed metric spaces and Banach spaces. We show the basics of this new theory and we give a procedure to create a two-Lipschitz operator ideal from a linear operator ideal. We apply our result to the ideals of strongly p-summing and compact linear operator to obtain their corresponding two-Lipschitz operator ideal. Also, we establish a natural relation between two-Lipschitz and bilinear maps and show that the two-Lipschitz factorable p-dominated operators are those which are associated to the well-known p-semi-integral bilinear operators.

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Abdelhamid Tallab , , (2020), Two-Lipschitz operator ideals, Journal of Mathematical Analysis and Applications 491(2), Vol:491, Issue:2, pages:20, Elsevier

We work in a tensor product framework involving traced tensor norms and the representation theorem for maximal operator ideals. Several applications are given not only to multi-ideals, but also to linear operator ideals. In particular, we get applications to multiple p-summing and p-summing multilinear operators.

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Abdelhamid Tallab , ,(2018), on multiple summing multilinear operators,International Conference on Algebra and Related Topics,Mohammed V University in Rabat Morocco

In this representatin we introduce the so called calculus of traced tensor norms will be a fundamental tool in this chapter . It is a very useful tool when dealing with topological tensor products ---and so with operator ideals--- that surprisingly enough has not been used very often, although it provides a clear point of view for the study of composition and quotients of operator ideals. The reader can find in one of the rare applications of this technique in a similar context.

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Abdelhamid Tallab , ,(2018), characterization of some classes of summing operators by traced tensor norms,International Conference on Advances in Applied Mathematics ICAAM-2018,Sousse, December 17-20, 2018 Tunisia

We introduce the notion of (s,q)-mixing between a tensor product between two Banch spaces e and F into a Banach space G.

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Abdelhamid Tallab , ,(2018), (s,q;F)-mixing operators,5ème journée de mathématiques,Université Mohamed Boudiaf- M’sila

We introduce and study a new concept of summability in the category of Lipschitz operators, which we call Lipschitz tau (p)-summability. We give some characterizations in terms of a domination theorem and some properties of this concept. Also, connections with other summability notions are presented.

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Abdelhamid Tallab , ,(2017), On Lipschitz tau (p)-summing operators.,Colloq. Math.,Poland

Using the idea of Defant and Floret (i.e., TT is absolutely pp-summing if and only if Tˆ:ℓp0⊗εE→ℓp⊗ΔpFT^:ℓ0p⊗εE→ℓp⊗ΔpF is continuous). We will introduced the extension of this idea to the case of multilinear operators. Two natural extensions of absolutely pp-summing linear operators to the multilinear context are required for our purposes: pp-summing and multiple pp-summing multilinear operators. Both classes have been intensively studied and are well-known. The results are part of a joint work with P. Rueda and E. A. Sánchez Pérez.

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Abdelhamid Tallab , ,(2017), On multilinear multiple summing operators and p-summing operators,Conference on Banach spaces and operator theory with applications,Adam Mickiewicw university Poznan, Pologne

Using a general tensor norm approach, our aim is to show that some distinguished classes of summing operators can be characterized by means of an "order reduction" procedure for multiple summing multilinear operators

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Abdelhamid Tallab , ,(2017), Traced tensor norms and their applications,4ème journée de mathématiques,Université Mohamed Boudiaf- M’sila

In this presentation, we introduce and study a new concept of summability in the category of Lipschitz operators, which we call Lipschitz τ(p)-summability. We give some characterizations in terms of a domination theorem and some properties of this concept. Also, connections with other summability notions are presented.

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Abdelhamid Tallab , ,(2017), Lipschitz tau(p)-summing operators,Lipschitz tau(p)-summing operators,Vasyl Stefanyk precarparthian national university (Ukraine), 2017.

we introduce and study a new concept of summability in the category of lipschitz operators, which we call the Lipschitz τ(p)-summing operators. We give some characterizations in term of domination theorem and some properties of this concept. Also, some connections with other classes of summability are presented .

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Abdelhamid Tallab , ,(2016), The Lipschitz tau(p)-summing operators and their properties.,International conference of the Euro-Maghreb Laboratory of Mathematics and their Interaction,Hammamet (Tunisia)

In this work we will analyze with our tools the case of the so called τ(p)-summing operators and their "multiple version"

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Abdelhamid Tallab , ,(2016), Multiple tau(p)-summing and p-summing operators,3ème journée de mathématiques,Université Mohamed Boudiaf- M’sila

Using a general tensor norm approach, our aim is to show that some distinguished classes of summing operators can be characterized by means of an ‘order reduction’ procedure for multiple summing multilinear operators, which becomes the keystone of our arguments and can be considered our main result. We work in a tensor product framework involving traced tensor norms and the representation theorem for maximal operator ideals. Several applications are given not only to multi-ideals, but also to linear operator ideals. In particular, we get applications to multiple p-summing bilinear operators, (p, q)-factorable linear operators, -summing linear operators and absolutely p-summing linear operators, providing a characterization of this later class whenever the absolutely p-summing linear operators take values in an -space.

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Abdelhamid Tallab , , (2016), Traced tensor norms and multiple summing multilinear operators, Linear and Multilinear Algebra 65(4):1-19, Vol:65, Issue:4, pages:1-19, Taylor and Francis online

We introduce and study a new concept of summability in the category of Lipschitz operators, which we call Lipschitz τ(p)-summability. We give some characterizations in terms of a domination theorem and some properties of this concept. Also, connections with other summability notions are presented.

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Abdelhamid Tallab , , (2016), On Lipschitz $\tau ( p) $-summing operators, Colloquium Mathematicum journal, Vol:147, Issue:1, pages:20, Licencja użytkownika instytucjonalnego.

In this paper, we introduce a nonlinear version of (q,p,E)-summing operators in the category of Lipschitz and study their properties.

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Abdelhamid Tallab , ,(2015), On the Lipschitz (q,p;E)-summing operators,2ème journée de mathématiques,Université Mohamed Boudiaf- M’sila

In this presentation, we introduce some preliminaries on Lipschitz operators between metric spaces

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Abdelhamid Tallab , ,(2015), Some preliminaries on Lipschitz operators between metric spaces,Some preliminaries on Lipschitz operators between metric spaces,Faculté des sciences de Sfax (Tunisie),

we introduce and study a new concept of summability in the category of lipschitz operators, which we call the Lipschitz τ(p)-summing operators. We give some characterizations in term of domination theorem and some properties of this concept. Also, some connections with other classes of summability are presented .

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Abdelhamid Tallab , ,(2014), Sur les opérateurs Lipschitz tau(p)-sommants,1ère journée de mathématiques Université de M’sila,Université Mohamed Boudiaf- M’sila