M. TIAIBA Abdelmoumen

Prof

Directory of teachers

Department

Common trunk material sciences

Research Interests

Analyse fonctionnelle Mathématique pure théorie des opérateurs

Contact Info

University of M'Sila, Algeria

Email : abdelmoumen.tiaiba@univ-msila.dz

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Recent Publications

2025-01-01

THE IDEAL OF WEAKLY p-NUCLEAR POLYNOMIALS AND ITS DUAL

In this paper, we introduce the concepts of weakly p-nuclear m-homogeneous polynomials and quasi Cohen p-nuclear linear operators and m-homogeneous polynomials. The main
finding of this study shows that, under usual conditions, linear functionals in the space of weakly
p-nuclear polynomials are represented, by quasi Cohen p-nuclear polynomials.
Citation

M. TIAIBA Abdelmoumen, Asma hammou, Amar belacel, Amar bougoutaia, , (2025-01-01), "THE IDEAL OF WEAKLY p-NUCLEAR POLYNOMIALS AND ITS DUAL", [national] Palestine Journal of Mathematics , Palestine Polytechnic University-PPU 2024

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2024-07-19

Some classical theorems of factorizations in the sublinear case

This participation is a part of the development of some theorems of factorizations
in the sublinear case. Many problems in commutative analysis involve the principle
of factorization, in other word summing operators in all its dimensions. The
studies in this field have given rise to a rich and vast literature that will be cited in
Citation

M. TIAIBA Abdelmoumen, (2024-07-19), "Some classical theorems of factorizations in the sublinear case", [international] INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND , Istanbul Turquie

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2023-10-03

POSITIVE COHEN p−NUCLEAR m−HOMOGENEOUS POLYNOMIALS

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

M. TIAIBA Abdelmoumen, Asma Hammou, Amar Belacel, Bougoutaia Amar, , (2023-10-03), "POSITIVE COHEN p−NUCLEAR m−HOMOGENEOUS POLYNOMIALS", [national] Surveys in Mathematics and its Applications , https://www.utgjiu.ro/math/sma

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2019

Extension of Factorization Theorems of Maurey to s-positively Homogeneous Operators

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

M. TIAIBA Abdelmoumen, (2019), "Extension of Factorization Theorems of Maurey to s-positively Homogeneous Operators", [national] The Australian Journal of Mathematical Analysis and Applications , Austral Internet Publishing.

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2018

EXTENSION OF FACTORIZATION THEOREMS OF MAUREY TO s−POSITIVELY HOMOGENEOUS OPERATORS.

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

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

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