Title : ( Banach Algebra of Bounded Complex Radon Measures on Homogeneous Space )
Authors: TAJEDIN DERIKVAND , Rajab Ali Kamyabi Gol , Mohammad Janfada ,
Full TextAbstract
Let H be a compact subgroup of a locally compact group G. In this paper we define a convolution on M(G/H) , the space of all bounded complex Radon measures on the homogeneous space G/H. Then we prove that the measure space M(G/H) with the newly well-defined convolution is a non-unital Banach algebra that possesses an approximate identity. Finally, it is shown that this Banach algebra is not involutive and also L1ðG=HÞ with the new convolution is a two-sided ideal of it.
Keywords
, Complex Radon measure , Homogeneous spaces , Convolution, Banach algebra
@article{paperid:1080888,
author = {DERIKVAND, TAJEDIN and Kamyabi Gol, Rajab Ali and Janfada, Mohammad},
title = {Banach Algebra of Bounded Complex Radon Measures on Homogeneous Space},
journal = {Iranian Journal of Science and Technology-Transaction A: Science},
year = {2020},
volume = {44},
number = {5},
month = {October},
issn = {1028-6276},
pages = {1429--1437},
numpages = {8},
keywords = {Complex Radon measure ; Homogeneous spaces ; Convolution; Banach algebra},
}
%0 Journal Article
%T Banach Algebra of Bounded Complex Radon Measures on Homogeneous Space
%A DERIKVAND, TAJEDIN
%A Kamyabi Gol, Rajab Ali
%A Janfada, Mohammad
%J Iranian Journal of Science and Technology-Transaction A: Science
%@ 1028-6276
%D 2020
