Certain invariant subspaces for operators with rich eigenvalues

Karim Seddighi

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-8

Abstract:

For a connected open subset Ω of the plane and n a positive integer, let B n ( 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 B 1 ( 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 .

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:434950

DOI: 10.1155/S0161171291000066

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