An operator method for telegraph partial differential and difference equations

A Ashyralyev, M Modanli - Boundary Value Problems, 2015 - Springer
The Cauchy problem for abstract telegraph equations d 2 u (t) dt 2+ α du (t) dt+ A u (t)+ β u
(t)= f (t) d^2u(t)dt^2+αdu(t)dt+Au(t)+βu(t)=f(t) (0≤ t≤ T 0≦t≦T), u (0)= φ u(0)=φ, u′(0)= ψ …

[HTML][HTML] Summability of multilinear operators and their linearizations on Banach lattices

A Belacel, A Bougoutaia, P Rueda - Journal of Mathematical Analysis and …, 2023 - Elsevier
Among all the extensions of absolutely summing linear operators to the non linear setting,
the class of factorable strongly p-summing multilinear operators or polynomials preserves all …

On positive Cohen weakly nuclear multilinear operators

A Bougoutaia, A Belacel, R Macedo… - Carpathian Mathematical …, 2023 - kul.pu.if.ua
In this article, we establish new relationships involving the class of Cohen positive strongly $
p $-summing multilinear operators. Furthermore, we introduce a new class of multilinear …

[PDF][PDF] POSITIVE COHEN p− NUCLEAR m− HOMOGENEOUS POLYNOMIALS

A Hammou, A Belacel, A Bougoutaia, A Tiaiba - Surv Math Appl, 2023 - num.univ-msila.dz
Positive Cohen p-nuclear m-homogeneous polynomials Page 1 Surveys in Mathematics and
its Applications ISSN 1842-6298 (electronic), 1843-7265 (print) Volume 18 (2023), 107 – 121 …

[PDF][PDF] Domination and Kwapień's factorization theorems for positive Cohen nuclear linear operators

A Bougoutaia, A Belacel, H Hamdi - Moroccan Journal of Pure and …, 2021 - sciendo.com
In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear
operators between Banach lattice spaces. We prove a natural analog to the Pietsch …

Cohen positive strongly p-summing and p-convex multilinear operators

A Bougoutaia, A Belacel - Positivity, 2019 - Springer
The aim of this work is to give and study the notion of Cohen positive p-summing multilinear
operators. We prove a natural analog of the Pietsch domination theorem for these classes …

Positive p-summing operators and disjoint p-summing operators

D Chen, A Belacel, JA Chávez-Domínguez - Positivity, 2021 - Springer
In the present paper, we introduce a new concept of positive p-majorizing operators as a
dual notion of positive p-summing operators and generalize the concept of majorizing …

Ideal of multilinear -factorable operators and applications

D Achour, O Galdames-Bravo, R Yahi - Advances in Operator Theory, 2024 - Springer
In the present paper we introduce a method for generating ideals of linear and multilinear
operators from what we call generalized left and right operator ideals, that we discuss with p …

Positive ideals of multilinear operators

A Ferradi, A Belaada, K Saadi - arXiv preprint arXiv:2402.00618, 2024 - arxiv.org
We introduce and explore the concept of positive ideals for both linear and multilinear
operators between Banach lattices. This paper delineates the fundamental principles of …

Cohen Positive Strongly p‐Summing and p‐Dominated m‐Homogeneous Polynomials

H Hamdi, S García-Hernández, A Belacel… - Journal of …, 2021 - Wiley Online Library
We introduce the concepts of Cohen positive strongly p‐summing and positive p‐dominated
m‐homogeneous polynomials. The version of Pietsch's domination theorem for the first class …