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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 4, Pages 823-824
doi:10.1155/S016117128900102X

Supersets for the spectrum of elements in extended Banach algebras

Morteza Seddighin

Division of Natural Sciences, Lewis Clark College, Lewiston 83501, ID, USA

Abstract

If A is a Banach Algebra with or without an identity, A can be always extended to a Banach algebra A¯ with identity, where A¯ is simply the direct sum of A and C, the algebra of complex numbers. In this note we find supersets for the spectrum of elements of A¯.