M. BELAALA Maatougui

MCA

Directory of teachers

Department

Mathematics Department

Research Interests

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

Contact Info

University of M'Sila, Algeria

Email : maatougui.belaala@univ-msila.dz

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Recent Publications

2024-12-14

Lipschitz $\phi$-decomposable operators

In this WORK, we introduce the concepts of Lipschitz $\phi$-nuclear operators and Lipschitz $\phi$-decomposable operators, where $\phi\colon [0, \infty) \to [0, \infty)$ is a modulus function. We establish a factorization theorem for the class of Lipschitz $\phi$-nuclear operator, and examine the relationship between a Lipschitz $\phi$-nuclear operator $T$ and its linearization $T_L$. For the class of Lipschitz $\phi$-decomposable operators, we demonstrate that every Lipschitz $\phi$-decomposable operator is also Lipschitz $\phi$-summing. Additionally, we present a version of Kwapień's theorem in the context of Lipschitz operators. Using this result, we prove that if the space $E$ possesses the metric approximation property, then for any continuous linear map $\gamma\colon E \to L^{\phi}$, the composition $\gamma T$ is a Lipschitz $\phi$-decomposable operator whenever $T^{t} \in \Pi_{\phi}(E^{\ast}, X^{\#})$.
Citation

M. BELAALA Maatougui, (2024-12-14), "Lipschitz $\phi$-decomposable operators", [international] 5 th International Conference on Mathematical, Engineering and Management Sciences (5th ICMEMS 2024) December 13-14, 2024 , الهند

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2024-11-19

) Pietsh factorization theorem for Lipschitz phi-summing

The theory of linear operator ideals between normed (or Banach) spaces have
been developed by Albert Pietsch , and it is nowadays well
established. A linear operator ideal $\mathcal{I}$ is a subclass of the
class of all continuous linear operators, such that for every Banach spaces $%
E$ and $F$, the set $\mathcal{I}(E,F)$ is a vector subspace of $\mathcal{L}%
(E,F)$ that is invariant by the composition of linear operators on the right
or and on the left and which contains the linear operators of finite rank. In yhis work we present the pitsch factoriztion theorem related to the classes of Lipschitz phi-summing operatos
Citation

M. BELAALA Maatougui, (2024-11-19), ") Pietsh factorization theorem for Lipschitz phi-summing", [international] 1st International Conference Mohand Moussaoui on Applied Mathematics and Modeling univ-guelma 19-20 Nov 2024 , جامعة قالمة

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2024-08-25

James’ Theorem and characterization .

In this work, we have dealt with reflexive spaces, James' theorem, and its linear and multilinear versions in Banach spaces, providing multilinear and polynomial characterizations at the end.
Citation

M. BELAALA Maatougui, (2024-08-25), "James’ Theorem and characterization .", [international] 24 International Pure Mathematics Conference 2024from 23 to 25 August 2024, Islamabad, Pakistan. , Islamabad, Pakistan.

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2023-12-22

New results on MS-Lipschitz summing operators,

This paper focuses on the study of MS-Lipschitz p-summing operators, which were
initially defined by the authors in [1]. Our objective is to establish relationships between T and its
linearizations, namely Tb and Te. Additionally, we extend our investigation by introducing a new
definition in the category of Lipschitz mappings defined on metric spaces, known as MS-Cohen
Lipschitz p-summing. We provide several results and characterizations for this new concept.
Citation

M. BELAALA Maatougui, (2023-12-22), "New results on MS-Lipschitz summing operators,", [national] Palestine Journal of Mathematics , Palestine Polytechnic University-PPU 2024

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2023-12-19

On some Lipschitz (p-r-s) summing operators

On some Lipschitz (p-r-s) summing operators
On some Lipschitz (p-r-s) summing operators
Citation

M. BELAALA Maatougui, (2023-12-19), "On some Lipschitz (p-r-s) summing operators", [national] DGDS2023 , Relizane

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2023-06-01

Strictly Lipschitz (p,r,s)-summing operators

Strictly Lipschitz (p,r,s)-summing operators
Strictly Lipschitz (p,r,s)-summing operators
Strictly Lipschitz (p,r,s)-summing operators
Strictly Lipschitz (p,r,s)-summing operators
Citation

M. BELAALA Maatougui, (2023-06-01), "Strictly Lipschitz (p,r,s)-summing operators", [international] International conference on Young Mathematicians , Ukraine

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2023-05-14

On strictly Lipschitz p-nuclear operators

On strictly Lipschitz p-nuclear operators
On strictly Lipschitz p-nuclear operators
Citation

M. BELAALA Maatougui, (2023-05-14), "On strictly Lipschitz p-nuclear operators", [national] 1st National Applied Mathematics Seminar (NAMS’2023) , Biskra

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2022

New characterization of two spaces of Lipschitz p-summing operators

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Citation

M. BELAALA Maatougui, (2022), "New characterization of two spaces of Lipschitz p-summing operators", [international] 2nd National Conference on Pure and Applied Mathematics , Laghouat

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Further results on strictly Lipschitz summing operators

The aim of this paper is to give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators. Therefore, we adapt this definition for constructing other classes of Lipschitz mappings which are called strictly Lipschitz p-nuclear and strictly Lipschitz (p, r, s)-summing operators. Some interesting properties and factorization results are obtained for these new classes
Citation

M. BELAALA Maatougui, (2022), "Further results on strictly Lipschitz summing operators", [national] Moroccan J. of Pure and Appl. Anal. (MJPAA) , Sciendo

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2021

Multilinear phi-summing operators

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Citation

M. BELAALA Maatougui, (2021), "Multilinear phi-summing operators", [national] NP-PAM 2021 , University of Laghouat

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2018

On class of Liptschiz phi-summing operators

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Citation

M. BELAALA Maatougui, (2018), "On class of Liptschiz phi-summing operators", [international] International Conference on Advances in Applied Mathematics ICAAM - 2019 , Tunisia

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2017

LIPSCHITZ phi-SUMMING OPERATORS

Let : [0;1[ ! [0;1[ be a modulus function. We introduce the notion
of Lipschitz -summing operator between pointed metric spaces and give a nonlinear
version of a Pietsch domination theorem for such operators.
Citation

M. BELAALA Maatougui, (2017), "LIPSCHITZ phi-SUMMING OPERATORS", [national] Analele Universitatii Oradea Fasc. Matematica , Faculty of Science, University of Oradea

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