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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000066 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |