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Mathematics Department
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Recent Publications
Classsical p-compact operators
operators to multilinear case. Focusing on the theorems and conditions that help
us understand when a multilinear operator can be considered classical p-compact.
We will also highlight the connexion to the linear case and discuss the
factorisation theorem, which plays a crucial role in understanding the behavior of
these operators, we will illustrate this point with an example.
To begin, let’s quickly review some essential background concepts that will be
useful throughout this presentation
Citation
M. ALOUANI Ahlem, (2024-12-13), "Classsical p-compact operators", [international] . . . . . . . . . . 5th International Conference on Mathematical, Engineering and Management Sciences India , India
Characterization of multilinear compact operators
Citation
M. ALOUANI Ahlem, (2024-10-23), "Characterization of multilinear compact operators", [national] 8th national Conference on Mathematical Analysis , university Mouhamed bou Diaf Msila
Linearization of nonlinear operators
Citation
M. ALOUANI Ahlem, (2024-05-15), "Linearization of nonlinear operators", [international] 1st International Conference on Nonlinear Mathematical Analysis and its Applications , University Mohamed El Bachir El Ibrahimi of Bordj Bou Arréridj
FACTORABLE STRONGLY p-NUCLEAR m-HOMOGENEOUS POLYNOMIALS
polynomials whose linearization is p-nuclear. This characterization provides a
strong link between the theory of p-nuclear linear operators and the (non linear)
homogeneous p-nuclear polynomials that significantly improves former approaches.
The deep connection with Grothendieck-integral polynomials is also analyzed.
Citation
M. ALOUANI Ahlem, (2024-01-27), "FACTORABLE STRONGLY p-NUCLEAR m-HOMOGENEOUS POLYNOMIALS", [international] Bilsel International Korykos Scientific Researches and Innovation Congress , Mersin/ Turkiye
Duality and factorable strongly p-nuclear m-homogeneous polynomials
Citation
M. ALOUANI Ahlem, (2022), "Duality and factorable strongly p-nuclear m-homogeneous polynomials", [national] Rencontre d’Analyse Mathématique et ses Applications , Université de M’sila
Maitriser la recherche sur ScienceDirect
Citation
M. ALOUANI Ahlem, (2021), "Maitriser la recherche sur ScienceDirect", [international] Researcher Academy On Campus , Afrique du Nord
Factorable strongly p-nuclear m-homogeneous polynomials
Citation
M. ALOUANI Ahlem, P. Rueda, , (2019), "Factorable strongly p-nuclear m-homogeneous polynomials", [national] Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas , Springer International Publishing
Tensor characterizations of summing polynomials
can be characterized by means of the continuity of an associated tensor
operator T that is defined between tensor products of sequences spaces.
In this paper we provide a unifying treatment of these tensor product
characterizations of summing operators. We work in the more general
frame provided by homogeneous polynomials, where an associated “ten-
sor” polynomial —which plays the role of T —, needs to be determined
first. Examples of applications are shown
Citation
M. ALOUANI Ahlem, (2018), "Tensor characterizations of summing polynomials", [national] J. Math. , Springer International Publishing