Comparisons between different spectra of an element in a Banach algebra
In this paper we study the relationships among the spectra of the cosets of an element of a Banach algebra in some quotient algebras. We also characterize the spectrum of any a∈M (where M is an ideal of a Banach algebra with identity and moreover has an identity) in the whole algebra in terms of the...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293001036 |
| Summary: | In this paper we study the relationships among the spectra of the cosets of an
element of a Banach algebra in some quotient algebras. We also characterize the spectrum of any
a∈M (where M is an ideal of a Banach algebra with identity and moreover has an identity) in the
whole algebra in terms of the spectrum of a in M. |
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| ISSN: | 0161-1712 1687-0425 |