On the largest analytic set for cyclic operators
We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space ℋ; some related consequences are discussed. Furthermore, we show that two densely similar cyclic Banach-space operators possessing Bishop's property (β) have equal appr...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203209042 |
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| _version_ | 1832567696989880320 |
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| author | A. Bourhim |
| author_facet | A. Bourhim |
| author_sort | A. Bourhim |
| collection | DOAJ |
| description | We describe the set of analytic bounded point evaluations for an
arbitrary cyclic bounded linear operator T on a Hilbert space
ℋ; some related consequences are discussed. Furthermore, we
show that two densely similar cyclic Banach-space operators
possessing Bishop's property (β) have equal approximate point spectra. |
| format | Article |
| id | doaj-art-f4aed2048e9f404c8e0204da73738dce |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f4aed2048e9f404c8e0204da73738dce2025-02-03T01:00:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003301899190910.1155/S0161171203209042On the largest analytic set for cyclic operatorsA. Bourhim0The Abdus Salam International Centre for Theoretical Physics, Mathematics Section, Strada Costiera 11, Trieste 34100, ItalyWe describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space ℋ; some related consequences are discussed. Furthermore, we show that two densely similar cyclic Banach-space operators possessing Bishop's property (β) have equal approximate point spectra.http://dx.doi.org/10.1155/S0161171203209042 |
| spellingShingle | A. Bourhim On the largest analytic set for cyclic operators International Journal of Mathematics and Mathematical Sciences |
| title | On the largest analytic set for cyclic operators |
| title_full | On the largest analytic set for cyclic operators |
| title_fullStr | On the largest analytic set for cyclic operators |
| title_full_unstemmed | On the largest analytic set for cyclic operators |
| title_short | On the largest analytic set for cyclic operators |
| title_sort | on the largest analytic set for cyclic operators |
| url | http://dx.doi.org/10.1155/S0161171203209042 |
| work_keys_str_mv | AT abourhim onthelargestanalyticsetforcyclicoperators |