Spectral properties of elements in different Banach algebras
1991 ◽
Vol 33
(1)
◽
pp. 11-20
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Let A be a Banach algebra with unit 1 and let B be a Banach algebra which is a subalgebra of A and which contains 1. In [5]Barnes gave sufficient conditions for B to be inverse closed in A. In this paper we consider single elements and study the question of how the spectrum relative to B of an element in B relates to the spectrum of the element relative to A.
1969 ◽
Vol 66
(2)
◽
pp. 265-274
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2003 ◽
Vol 2003
(28)
◽
pp. 1803-1806
2004 ◽
Vol 2004
(55)
◽
pp. 2963-2969
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Keyword(s):
2018 ◽
Vol 11
(02)
◽
pp. 1850021
◽
1967 ◽
Vol 8
(1)
◽
pp. 41-49
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Keyword(s):
2018 ◽
Vol 17
(09)
◽
pp. 1850169
◽