Isometries of spaces of LOG-integrable functions
R. Z. AbdullaevTashkent University of Information Technologies, Tashkent, 100200, UzbekistanVladimir ChilinBekzod Madaminov Urgench state Unversity, Urgench, 220100, UzbekistanB. A. MadaminovNational University of Uzbekistan, Tashkent, 100174, Uzbekistan
Ochiq kirishOlmos
ABI
Annotatsiya
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).
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