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arXiv:2406.09565 [math.FA]AbstractReferencesReviewsResources

Compactness in Lorentz sequence spaces

Paweł Sawicki

Published 2024-06-13Version 1

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.

Comments: 12 pages, 0 figures
Categories: math.FA
Subjects: 46B50, 46E30
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