Title : ( Isometric isomorphism of homogeneous space algebras )
Authors: TAJEDIN DERIKVAND , Rajab Ali Kamyabi Gol , Mohammad Janfada ,
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Abstract
In this paper we show that two homogeneous spaces with isometrically isomorphic algebras are topologically homeomorphic by themselves. This generalizes the well-known results of J. G. Wendel for group algebras and B. E. Johnson one for measure algebras.
Keywords
, isomorphic algebras, homogeneous spaces, strongly quasi-invariant measure, homeomorphic Hausdorff spaces.
@article{paperid:1067627,
author = {DERIKVAND, TAJEDIN and Kamyabi Gol, Rajab Ali and Janfada, Mohammad},
title = {Isometric isomorphism of homogeneous space algebras},
journal = {Publicationes Mathematicae Debrecen},
year = {2018},
volume = {93},
number = {1},
month = {July},
issn = {0033-3883},
pages = {125--142},
numpages = {17},
keywords = {isomorphic algebras; homogeneous spaces; strongly quasi-invariant measure; homeomorphic Hausdorff spaces.},
}
%0 Journal Article
%T Isometric isomorphism of homogeneous space algebras
%A DERIKVAND, TAJEDIN
%A Kamyabi Gol, Rajab Ali
%A Janfada, Mohammad
%J Publicationes Mathematicae Debrecen
%@ 0033-3883
%D 2018
