This article is cited in 3 papers

On Invertibility Conditions for Elements of Banach Algebras of Measures

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Classical theorems concerning invertibility conditions for elements of Banach algebras of measures are generalized.

Keywords: Banach algebra of measures, invertibility conditions, semimultiplicative function, Borel measurability, convolution of measures, Laplace transform.

UDC: 517.986.225

Received: 08.06.2011
Revised: 03.05.2012

DOI: 10.4213/mzm9169

 English version: Mathematical Notes, 2013, 93:5, 763–765

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