Banach Algebra of Bounded Complex Radon Measures on Homogeneous Space
Iranian Journal of Science and Technology, Transaction A: Science, ISSN: 2364-1819, Vol: 44, Issue: 5, Page: 1429-1437
2020
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Article Description
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 L(G/ H) with the new convolution is a two-sided ideal of it.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85088642859&origin=inward; http://dx.doi.org/10.1007/s40995-020-00938-9; https://link.springer.com/10.1007/s40995-020-00938-9; https://link.springer.com/content/pdf/10.1007/s40995-020-00938-9.pdf; https://link.springer.com/article/10.1007/s40995-020-00938-9/fulltext.html; https://dx.doi.org/10.1007/s40995-020-00938-9; https://link.springer.com/article/10.1007/s40995-020-00938-9
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