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Sbornik: Mathematics, 2009, Volume 200, Issue 8, Pages 1165–1179
DOI: https://doi.org/10.1070/SM2009v200n08ABEH004033 (Mi sm7489) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Regularity of group algebras

E. A. Gorin

Moscow State Pedagogical University
English version PDF (296 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM2009v200n08ABEH004033
Abstract: A Carleman-type test for the Shilov regularity of weighted $\mathscr L^p$-algebras (with convolution as multiplication) on groups is extended to wider classes of Banach algebras of measurable functions on locally compact Abelian groups. Only simplest analytic methods and general algebraic ideas are used. In conclusion several questions are posed.
Bibliography: 18 titles.
Keywords: Banach algebras, spectrum, locally compact Abelian groups.
Received: 18.11.2008 and 05.04.2009
Bibliographic databases:
UDC: 517.986
MSC: Primary 46J10, 46J20; Secondary 22B99
Language: English
Original paper language: Russian
Citation: E. A. Gorin, “Regularity of group algebras”, Sb. Math., 200:8 (2009), 1165–1179
Citation in format AMSBIB
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\paper Regularity of group algebras
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:495
    Russian version PDF:180
    English version PDF:1
    References:49
    First page:10
     
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