On cyclicity in weighted Dirichlet spaces
We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0<α<1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299227391 |
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| _version_ | 1832555948154028032 |
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| author | F. Jafari R. Raposa |
| author_facet | F. Jafari R. Raposa |
| author_sort | F. Jafari |
| collection | DOAJ |
| description | We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0<α<1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general
functional Hilbert spaces. |
| format | Article |
| id | doaj-art-b69f9112046a4b8787fc59afc1849a77 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b69f9112046a4b8787fc59afc1849a772025-02-03T05:46:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122473974410.1155/S0161171299227391On cyclicity in weighted Dirichlet spacesF. Jafari0R. Raposa1Department of Mathematics, University of Wyoming, Laramie 82071-3036, WY, USADepartment of Math and CS, Montana State University, Billings 59101, MT, USAWe extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0<α<1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert spaces.http://dx.doi.org/10.1155/S0161171299227391Weighted Dirichlet spacescyclicityfunctional Hilbert spaces. |
| spellingShingle | F. Jafari R. Raposa On cyclicity in weighted Dirichlet spaces International Journal of Mathematics and Mathematical Sciences Weighted Dirichlet spaces cyclicity functional Hilbert spaces. |
| title | On cyclicity in weighted Dirichlet spaces |
| title_full | On cyclicity in weighted Dirichlet spaces |
| title_fullStr | On cyclicity in weighted Dirichlet spaces |
| title_full_unstemmed | On cyclicity in weighted Dirichlet spaces |
| title_short | On cyclicity in weighted Dirichlet spaces |
| title_sort | on cyclicity in weighted dirichlet spaces |
| topic | Weighted Dirichlet spaces cyclicity functional Hilbert spaces. |
| url | http://dx.doi.org/10.1155/S0161171299227391 |
| work_keys_str_mv | AT fjafari oncyclicityinweighteddirichletspaces AT rraposa oncyclicityinweighteddirichletspaces |