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¯.
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| Format: | Article |
| Language: | English |
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Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117128900102X |
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| _version_ | 1832551668840923136 |
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| author | Morteza Seddighin |
| author_facet | Morteza Seddighin |
| author_sort | Morteza Seddighin |
| collection | DOAJ |
| description | 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¯. |
| format | Article |
| id | doaj-art-52642c020ab24748bd64461118bc4695 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-52642c020ab24748bd64461118bc46952025-02-03T06:00:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112482382410.1155/S016117128900102XSupersets for the spectrum of elements in extended Banach algebrasMorteza Seddighin0Division of Natural Sciences, Lewis Clark College, Lewiston 83501, ID, USAIf 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¯.http://dx.doi.org/10.1155/S016117128900102X |
| spellingShingle | Morteza Seddighin Supersets for the spectrum of elements in extended Banach algebras International Journal of Mathematics and Mathematical Sciences |
| title | Supersets for the spectrum of elements in extended Banach algebras |
| title_full | Supersets for the spectrum of elements in extended Banach algebras |
| title_fullStr | Supersets for the spectrum of elements in extended Banach algebras |
| title_full_unstemmed | Supersets for the spectrum of elements in extended Banach algebras |
| title_short | Supersets for the spectrum of elements in extended Banach algebras |
| title_sort | supersets for the spectrum of elements in extended banach algebras |
| url | http://dx.doi.org/10.1155/S016117128900102X |
| work_keys_str_mv | AT mortezaseddighin supersetsforthespectrumofelementsinextendedbanachalgebras |