Supersets for the spectrum of elements in extended Banach algebras

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¯.

Bibliographic Details
Main Author: Morteza Seddighin
Format: Article
Language:English
Published: Hindawi Limited 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117128900102X