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Certain invariant subspaces for operators with rich eigenvalues

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  • Karim Seddighi

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 .

Suggested Citation

  • Karim Seddighi, 1991. "Certain invariant subspaces for operators with rich eigenvalues," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:434950
    DOI: 10.1155/S0161171291000066
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