ABDELMOUMEN Tiaiba

Laaichi Hada , /, /

Sur les operateurs linéaires latticiellement sommant

Akedi khaled , /, ,/

Sur les particuliers opérateurs homogènes sommables

Blaada abdeaziz , /, /

idéaux d’opérateurs non-linéaires et théorèmes de factorisation

Blaala matougui , /, /

On some new classes of Lipschitz summing operators

In this paper we introduce the concept of positive Cohen p−nuclear polynomials between Banach lattice spaces. We give an analogue to Pietsch domination theorem and we study some properties concerning this notion.

Citation

Abdelmoumen TIAIBA , ADMIN Admin , ADMIN Admin , ADMIN Admin , Asma Hammou, Amar Belacel, Bougoutaia Amar, , (2023-10-03), POSITIVE COHEN p−NUCLEAR m−HOMOGENEOUS POLYNOMIALS, Surveys in Mathematics and its Applications, Vol:18, Issue:1, pages:107-121, https://www.utgjiu.ro/math/sma

In this talk , we study some relations between positive, regular and positive p-summing operators. We show as first contribution a theorem which give a necessary and sufficient conditions that a -Banach space has the Radon-Nkodým property if all additive operator frome to be representable. In the second part , we prove some results to positive and increasing sublinear operators. Keywords: Banach lattice, sublinear operator, summing linear operator. 2020 Mathematics Subject Classification Numbers: 47B10, 47H60, 46G25. References [1] L. Mezrag and A. Tiaiba, On the sublinear operators factoring through Lq. Int. J. Math. Math. Sci. 50 (2004), 2695-2704. [2] O. Blasco, Boundary values of vector valued harmonic functions considered as operators, Studio Math. 86 (1987), 19-33.

Citation

Abdelmoumen TIAIBA , ,(2023-07-05), On the some relations ship between positive and positive p-summing operators,7 th International Conference of Mathematical Sciences (ICMS ) les 5-9 July 2023, Maltepe University, Istanbul, Turkey3),İstanbul Turque

In the present work, we prove that the class of s−positively homogeneous operators is a Banach space. As application, we give the generalization of some Maurey factorization theorems to T which is a s−positively homogeneous operator from X a Banach space into Lp. Where we establish necessary and sufficient conditions to proof that T factors through Lq. After this we give extend result of dual factorization theorem to same class of operators above.

Citation

Abdelmoumen TIAIBA , , (2019), Extension of Factorization Theorems of Maurey to s-positively Homogeneous Operators, The Australian Journal of Mathematical Analysis and Applications, Vol:16, Issue:2, pages:Article 10, pp. 1-12, Austral Internet Publishing.

IN the present work, we prove that the class of s-positively homogeneous operators is a Banach space. As application, we give the generalization of some Maurey factorization theorems to T which is a s-positively homogeneous operator from X a Banach space into Lp. Where we establish necessary and sufficient conditions to proof that T factors through Lq. After this we give extend result of dual factorization theorem to same class of operators above.

Citation

Abdelmoumen TIAIBA , , (2019), Extension of Factorization Theorems of Maurey to s-positively Homogeneous Operators, The Australian Journal of Mathematical Analysis and Applications, Vol:16, Issue:2, pages:P 1-12, Austral Internet Publishing.

In the present work, we prove that the class of s−positively homogeneous operators is a Banach space. As application, we give the generalization of some Maurey factorization theorems to T which is a s−positively homogeneous operator from X a Banach space into Lp. Where we establish necessary and sufficient conditions to proof that T factors through Lq. After this we give extend result of dual factorization theorem to same class of operators above.

Citation

Abdelmoumen TIAIBA , ,(2018), EXTENSION OF FACTORIZATION THEOREMS OF MAUREY TO s−POSITIVELY HOMOGENEOUS OPERATORS.,ICART 2018,Maroco