Iranian Journal of Science and Technology-Transaction A: Science, ( ISI ), Volume (44), No (5), Year (2020-10) , Pages (1429-1437)

Title : ( Banach Algebra of Bounded Complex Radon Measures on Homogeneous Space )

Authors: TAJEDIN DERIKVAND , Rajab Ali Kamyabi Gol , Mohammad Janfada ,

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Abstract

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