Compactness in Lorentz sequence spaces

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Authors: Paweł Sawicki
Cited by: 0

Abstract

In this paper we are going to discuss compactness in Lorentz sequence spaces. Firstly, it will be shown how to define such a space, check whether a sequence belongs to it and calculate its norm. Equipped with this knowledge, we will proceed to propose usable compactness criteria for Lorentz sequence spaces, employing the concept of seminorms.

Fields of Study & Subjects

Advanced Banach Space Theory Advanced Topology and Set Theory Approximation Theory and Sequence Spaces

Publication details

Journal / source
Topological Methods in Nonlinear Analysis
Pages
1–16
Publication date
18 May 2026
Language
EN