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Keywords = metric space countable at infinity

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9 pages, 274 KiB  
Article
The Space of Functions with Tempered Increments on a Locally Compact and Countable at Infinity Metric Space
by Józef Banaś and Rafał Nalepa
Axioms 2022, 11(1), 11; https://doi.org/10.3390/axioms11010011 - 25 Dec 2021
Viewed by 2591
Abstract
The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity. We are going to provide a condition that [...] Read more.
The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity. We are going to provide a condition that is sufficient for the relative compactness in the Banach space in question. A few particular cases of that Banach space will be discussed. Full article
(This article belongs to the Special Issue Operator Theory and Its Applications)
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