The Kp,q-Compactness and Kp,q-Null Sequences

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Date

2024-06

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Mohamed Boudiaf university of Msila, Faculty of Mathematics and computer sciences, Department of Mathematics

Abstract

In this memory, we deal with one of the most important topics in functional analysis, namely some classes of compact sets and operators, we endeavored, with modest effort, to identify the most important definitions, theorems, and properties throughout all chapters of this research. In the first chapter, we review the key concepts related to compact sets and compact operators. The second chapter deals with some results related to relatively Kp,q-compact sets and finally we present some results for Kp,q-null sequence.

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Keywords

compact groups, compact Kpq groups, K-pa sequences that converge towards zero, effects, K-pq compactness, approximation property

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