Pseudosymmetric Spaces as Generalization of Symmetric spaces

Pseudosymmetric Spaces as Generalization of Symmetric spaces

In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its properties, Calderon's theorem, etc., is tr...

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Bibliographic Details
Published in:Sahand communications in mathematical analysis Vol. 20; no. 1; pp. 61 - 79
Main Authors: Bilal Bilalov, Yusuf Zeren, Betule Alizade, Feyza Elif Dal
Format: Journal Article
Language:English
Published: University of Maragheh 01-01-2023
Subjects:
boyd indices
calderon theorem
fundamental function
symmetric spaces
Online Access:Get full text
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Summary:In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its properties, Calderon's theorem, etc., is transferred over the pseudosymmetric case. Examples are given for pseudosymmetric spaces. The quasi-symmetric spaces expand the scope of the application of symmetric space results.
ISSN:2322-5807
2423-3900
DOI:10.22130/scma.2022.551403.1090