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Compactness in Lorentz sequence spaces

Functional Analysis 2024-06-17 v1

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.

Keywords

Cite

@article{arxiv.2406.09565,
  title  = {Compactness in Lorentz sequence spaces},
  author = {Paweł Sawicki},
  journal= {arXiv preprint arXiv:2406.09565},
  year   = {2024}
}

Comments

12 pages, 0 figures