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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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293001036 |
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| _version_ | 1849691500341886976 |
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| author | Laura Burlando |
| author_facet | Laura Burlando |
| author_sort | Laura Burlando |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e7e642173b884be7982dd9148572747a |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e7e642173b884be7982dd9148572747a2025-08-20T03:21:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116481982210.1155/S0161171293001036Comparisons between different spectra of an element in a Banach algebraLaura Burlando0Dipartimento di Matematica dell'Università di Genova, Via L.B. Alberti 4, Genova 16132, ItalyIn 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.http://dx.doi.org/10.1155/S0161171293001036Banach algebrasspectraideals. |
| spellingShingle | Laura Burlando Comparisons between different spectra of an element in a Banach algebra International Journal of Mathematics and Mathematical Sciences Banach algebras spectra ideals. |
| title | Comparisons between different spectra of an element in a Banach algebra |
| title_full | Comparisons between different spectra of an element in a Banach algebra |
| title_fullStr | Comparisons between different spectra of an element in a Banach algebra |
| title_full_unstemmed | Comparisons between different spectra of an element in a Banach algebra |
| title_short | Comparisons between different spectra of an element in a Banach algebra |
| title_sort | comparisons between different spectra of an element in a banach algebra |
| topic | Banach algebras spectra ideals. |
| url | http://dx.doi.org/10.1155/S0161171293001036 |
| work_keys_str_mv | AT lauraburlando comparisonsbetweendifferentspectraofanelementinabanachalgebra |