Compactness in Lorentz sequence spaces

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.

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Publication Details

Journal
Topological Methods in Nonlinear Analysis
Published
2026-05-18
DOI
https://doi.org/10.12775/tmna.2025.044
Primary Topic
Advanced Banach Space Theory
Type
preprint
Field-Weighted Citation Impact
0.00
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preprint

Compactness in Lorentz sequence spaces

Paweł Sawicki
Topological Methods in Nonlinear Analysis
Advanced Banach Space Theory
preprint

Compactness in Lorentz sequence spaces

Paweł Sawicki
preprint en

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.

Topological Methods in Nonlinear Analysis
Openalex Percentile: Top 97%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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