Some classes of p-summing type operators
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Date
2024-06
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf university of Msila, Faculty of Mathematics and computer sciences, Department of Mathematics
Abstract
This work based on the article of O. Blasco and T. Signes, where the o authors introduced
and studied the classes of bounded linear operators Φ : L (X,Y) → L (Z, W) such that
(Tn) → (Φ (Tn)) maps l
s
p
(X,Y) into lp (Z, W), l
s
p
(X,Y) into l
s
p
(Z, W) and l
w
p
(X,Y) into
l
s
p
(Z, W). The Pietsch-type dominations of (l
s
p
, lp)-summing linear operators wich presented
nowadays by José Rodríguez and Enrique A. Sánchez-Pérez is also given .
Description
Keywords
p-summing operator, Finite rank operator, ideal property of p − suming operators, Linear operator ideals, (ℓ s p, ℓp)-summing operators