A new kind of topological vector space: Topological approach vector space

Abbas, Ruaa K.; Hussein, Boushra Y.

doi:10.1063/5.0066971

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2023

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“…In 1989 approach space, a topological and metric space extension have certain fundamental concepts and theorems developed by Lowen [18]. Approach vector spaces are a new class of topological vector spaces that [2] has invented. The normed approach space was also created by Abbas and Hussein [1].…”

Section: Introductionmentioning

confidence: 99%

New Kind of Banach Algebra Via Proximit structure

Ebada,

Y. Hussein

2023

wjps

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This article introduces the concept of Banach proximit algebra and examines several results in this new context. We give new definitions for the terms "proximit algebra," "commutative proximit algebra," "identity proximit algebra," and "normed proximit algebra." However, we introduce the concepts of subproximit algebra, proximit homomorphism, and proximit isomorphism of Banach proximit algebras in a natural way. Finally, we offer a few intriguing possibilities to support our arguments.

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Section: Introductionmentioning

confidence: 99%