Certain invariant subspaces for operators with rich eigenvalues
For a connected open subset Ω of the plane and n a positive integer, let Bn(Ω) be the space introduced by Cowen and Douglas. In this article we study the spectrum of restrictions of T in order to obtain more information about the invariant subspaces of T. When n=1 and T ϵ B1(Ω) such that σ(T)=Ω¯ is...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291000066 |
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| _version_ | 1832564315373174784 |
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| author | Karim Seddighi |
| author_facet | Karim Seddighi |
| author_sort | Karim Seddighi |
| collection | DOAJ |
| description | For a connected open subset Ω of the plane and n a positive integer,
let Bn(Ω) be the space introduced by Cowen and Douglas. In this article we study the
spectrum of restrictions of T in order to obtain more information about the invariant
subspaces of T. When n=1 and T ϵ B1(Ω) such that σ(T)=Ω¯ is a spectral set for T we
use the functional calculus we have developed for such operators to give some infinite
dimensional cyclic invariant subspaces for T. |
| format | Article |
| id | doaj-art-22f6934ca2d44539898491767095018e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-22f6934ca2d44539898491767095018e2025-02-03T01:11:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-01141697610.1155/S0161171291000066Certain invariant subspaces for operators with rich eigenvaluesKarim Seddighi0Department of Mathematics, Shiraz University, Shiraz, IranFor a connected open subset Ω of the plane and n a positive integer, let Bn(Ω) be the space introduced by Cowen and Douglas. In this article we study the spectrum of restrictions of T in order to obtain more information about the invariant subspaces of T. When n=1 and T ϵ B1(Ω) such that σ(T)=Ω¯ is a spectral set for T we use the functional calculus we have developed for such operators to give some infinite dimensional cyclic invariant subspaces for T.http://dx.doi.org/10.1155/S0161171291000066invariant subspacegeneralized Bergman kernelzero sequence. |
| spellingShingle | Karim Seddighi Certain invariant subspaces for operators with rich eigenvalues International Journal of Mathematics and Mathematical Sciences invariant subspace generalized Bergman kernel zero sequence. |
| title | Certain invariant subspaces for operators with rich eigenvalues |
| title_full | Certain invariant subspaces for operators with rich eigenvalues |
| title_fullStr | Certain invariant subspaces for operators with rich eigenvalues |
| title_full_unstemmed | Certain invariant subspaces for operators with rich eigenvalues |
| title_short | Certain invariant subspaces for operators with rich eigenvalues |
| title_sort | certain invariant subspaces for operators with rich eigenvalues |
| topic | invariant subspace generalized Bergman kernel zero sequence. |
| url | http://dx.doi.org/10.1155/S0161171291000066 |
| work_keys_str_mv | AT karimseddighi certaininvariantsubspacesforoperatorswithricheigenvalues |