M. TALLAB Abdelhamid

MCA

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Department

Mathematics Department

Research Interests

Specialized in Mathematics Department. Focused on academic and scientific development.

Contact Info

University of M'Sila, Algeria

Email : abdelhamid.tallab@univ-msila.dz

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Recent Publications

2024-12-15

Les équations différentielles

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

M. TALLAB Abdelhamid, (2024-12-15), "Les équations différentielles", [national] University of M'sila

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2024-12-12

An interpolative class of two-Lipschitz mappings of composition type

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.
Citation

M. TALLAB Abdelhamid, (2024-12-12), "An interpolative class of two-Lipschitz mappings of composition type", [national] Applied General Topology , AGT, UPV,2024

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2024-10-23

Some results of unbounded operators in asymmetric normed spaces

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.
Citation

M. TALLAB Abdelhamid, (2024-10-23), "Some results of unbounded operators in asymmetric normed spaces", [national] 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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2023-12-06

ON GAP OF CLOSABLE UNBOUNDED LINEAR OPERATORS BETWEEN ASYMMETRIC NORMED SPACES

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Citation

M. TALLAB Abdelhamid, (2023-12-06), "ON GAP OF CLOSABLE UNBOUNDED LINEAR OPERATORS BETWEEN ASYMMETRIC NORMED SPACES", [international] IWAM2023 , Constantine-Algeria

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2023-05-03

الرياضيات والمجتمع

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Citation

M. TALLAB Abdelhamid, (2023-05-03), "الرياضيات والمجتمع", [national] الحياة المدرسية , جامعة المسيلة

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2022-12-05

On multivalued mappings between asymmetric normed spaces

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
Citation

M. TALLAB Abdelhamid, (2022-12-05), "On multivalued mappings between asymmetric normed spaces", [international] IWAM2022 International Workshop. , University of Constantine

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2022

On weakly mid-(p_1,…,p_m)-summing multilinear operators

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.
Citation

M. TALLAB Abdelhamid, (2022), "On weakly mid-(p_1,…,p_m)-summing multilinear operators", [national] Rencontre d'analyse mathématiques et ses applications , University of M'sila

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Banach-Steinhaus theorem for linear relations on asymmetric normed spaces

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.
Citation

M. TALLAB Abdelhamid, Dahia Elhadj, Khaled Bouadjila, , (2022), "Banach-Steinhaus theorem for linear relations on asymmetric normed spaces", [national] Carpathian Mathematical Publications , sciendo

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Weakly mid-(p_1,…,p_m)-summing multilinear operators

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.
Citation

M. TALLAB Abdelhamid, (2022), "Weakly mid-(p_1,…,p_m)-summing multilinear operators", [national] khayyam journal of mathematics , CCBY-NC

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2021

Linear relation between quasi-normed spaces

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

M. TALLAB Abdelhamid, (2021), "Linear relation between quasi-normed spaces", [national] MINI-CONGRÈS DES MATHÉMATICIENS ALGÉRIENS (MCMA’2021) , University of M'sila

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Lipschitz p-lattice summing operators

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.
Citation

M. TALLAB Abdelhamid, (2021), "Lipschitz p-lattice summing operators", [national] advances operators theory , spriger

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2020

Two-Lipschitz operator ideals

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.
Citation

M. TALLAB Abdelhamid, (2020), "Two-Lipschitz operator ideals", [national] Journal of Mathematical Analysis and Applications 491(2) , Elsevier

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Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces

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.
Citation

M. TALLAB Abdelhamid, (2020), "Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces", [national] Moroccan Journal of Pure and Applied Analysis , siendo

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2018

(s,q;F)-mixing operators

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

M. TALLAB Abdelhamid, (2018), "(s,q;F)-mixing operators", [national] 5ème journée de mathématiques , Université Mohamed Boudiaf- M’sila

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characterization of some classes of summing operators by traced tensor norms

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.
Citation

M. TALLAB Abdelhamid, (2018), "characterization of some classes of summing operators by traced tensor norms", [international] International Conference on Advances in Applied Mathematics ICAAM-2018 , Sousse, December 17-20, 2018 Tunisia

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on multiple summing multilinear operators

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.
Citation

M. TALLAB Abdelhamid, (2018), "on multiple summing multilinear operators", [international] International Conference on Algebra and Related Topics , Mohammed V University in Rabat Morocco

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2017

Traced tensor norms and their applications

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
Citation

M. TALLAB Abdelhamid, (2017), "Traced tensor norms and their applications", [national] 4ème journée de mathématiques , Université Mohamed Boudiaf- M’sila

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On multilinear multiple summing operators and p-summing operators

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.
Citation

M. TALLAB Abdelhamid, (2017), "On multilinear multiple summing operators and p-summing operators", [international] Conference on Banach spaces and operator theory with applications , Adam Mickiewicw university Poznan, Pologne

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On Lipschitz tau (p)-summing operators.

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.
Citation

M. TALLAB Abdelhamid, (2017), "On Lipschitz tau (p)-summing operators.", [international] Colloq. Math. , Poland

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Lipschitz tau(p)-summing operators

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.
Citation

M. TALLAB Abdelhamid, (2017), "Lipschitz tau(p)-summing operators", [international] Lipschitz tau(p)-summing operators , Vasyl Stefanyk precarparthian national university (Ukraine), 2017.

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2016

Multiple tau(p)-summing and p-summing operators

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

M. TALLAB Abdelhamid, (2016), "Multiple tau(p)-summing and p-summing operators", [national] 3ème journée de mathématiques , Université Mohamed Boudiaf- M’sila

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The Lipschitz tau(p)-summing operators and their properties.

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 .
Citation

M. TALLAB Abdelhamid, (2016), "The Lipschitz tau(p)-summing operators and their properties.", [international] International conference of the Euro-Maghreb Laboratory of Mathematics and their Interaction , Hammamet (Tunisia)

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On Lipschitz $\tau ( p) $-summing operators

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.
Citation

M. TALLAB Abdelhamid, (2016), "On Lipschitz $\tau ( p) $-summing operators", [national] Colloquium Mathematicum journal , Licencja użytkownika instytucjonalnego.

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Traced tensor norms and multiple summing multilinear operators

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.
Citation

M. TALLAB Abdelhamid, (2016), "Traced tensor norms and multiple summing multilinear operators", [national] Linear and Multilinear Algebra 65(4):1-19 , Taylor and Francis online

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2015

On the Lipschitz (q,p;E)-summing operators

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

M. TALLAB Abdelhamid, (2015), "On the Lipschitz (q,p;E)-summing operators", [national] 2ème journée de mathématiques , Université Mohamed Boudiaf- M’sila

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Some preliminaries on Lipschitz operators between metric spaces

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

M. TALLAB Abdelhamid, (2015), "Some preliminaries on Lipschitz operators between metric spaces", [international] Some preliminaries on Lipschitz operators between metric spaces , Faculté des sciences de Sfax (Tunisie),

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2014

Sur les opérateurs Lipschitz tau(p)-sommants

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 .
Citation

M. TALLAB Abdelhamid, (2014), "Sur les opérateurs Lipschitz tau(p)-sommants", [national] 1ère journée de mathématiques Université de M’sila , Université Mohamed Boudiaf- M’sila

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