Article

Isometries of spaces of LOG-integrable functions

R. Z. AbdullaevNational University of Uzbekistan, Tashkent, 100174, UzbekistanVladimir ChilinTashkent University of Information Technologies, Tashkent, 100200, UzbekistanB. A. MadaminovTashkent University of Information Technologies, Tashkent, 100200, Uzbekistan

Sibirskie Elektronnye Matematicheskie Izvestiyajournal2020sl

ABI

Abstract

We consider the F -space (L log (, ), log ) of log-integrable functions defined on measure space (, ) with finite measure. We prove that (L log (1, 1), log ) and (L log (2, 2), log ) are isometric if and only if there exists a measure preserving isomorphism from (1, 1) onto (2, 2).

Topics

Advanced Banach Space Theory Holomorphic and Operator Theory Advanced Operator Algebra Research

Identifiers

DOI: 10.33048/semi.2020.17.016

Citations and references

Cited by 1 7 references

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