Title : ( Some relations between Lp-spaces on locally compact group G and double coset K n G=H )
Authors: fatemeh fahimian , Rajab Ali Kamyabi Gol , Fatemeh Esmaeel Zadeh ,
Full TextAbstract
Let H and K be compact subgroups of locally compact group G. By considering the double coset space KnG=H, which equipped with an N-strongly quasi invariant measure , for 1 ⩽ p ⩽ +1, we make a norm decreasing linear map from Lp(G) onto Lp(K nG=H; ) and demonstrate that it may be identied with a quotient space of Lp(G). In addition, we illustrate that Lp(K n G=H; ) is isometrically isomorphic to a closed subspace of Lp(G). These assist us to study the structure of the classical Banach space created on a double coset space by those produced on topological space.
Keywords
, Double coset space, Lp(K n G=H; ), quotient space of Lp(G), duality of Lp(K=G; ).
@article{paperid:1080889,
author = {Fahimian, Fatemeh and Kamyabi Gol, Rajab Ali and Fatemeh Esmaeel Zadeh},
title = {Some relations between Lp-spaces on locally compact group G and double coset K n G=H},
journal = {Journal of Linear and Topological Algebra},
year = {2020},
volume = {09},
number = {2},
month = {July},
issn = {2252-0201},
pages = {149--163},
numpages = {14},
keywords = {Double coset space; Lp(K n G=H; ); quotient space of Lp(G); duality of
Lp(K=G; ).},
}
%0 Journal Article
%T Some relations between Lp-spaces on locally compact group G and double coset K n G=H
%A Fahimian, Fatemeh
%A Kamyabi Gol, Rajab Ali
%A Fatemeh Esmaeel Zadeh
%J Journal of Linear and Topological Algebra
%@ 2252-0201
%D 2020
