A model for operators with cyclic adjoint

Aharon Atzmon

doi:10.1007/BF01199076

A model for operators with cyclic adjoint

Aharon Atzmon

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that every bounded linear operator on a complex Banach space whose adjoint has a w^*-cyclic vector, is similar to the differentiation operator on a Banach space of entire functions of finite exponential type. The relation of this model to the existence of non-trivial invariant subspaces is discussed.

Original language	English
Pages (from-to)	153-163
Number of pages	11
Journal	Integral Equations and Operator Theory
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/BF01199076
State	Published - Mar 1987

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abstract = "It is proved that every bounded linear operator on a complex Banach space whose adjoint has a w*-cyclic vector, is similar to the differentiation operator on a Banach space of entire functions of finite exponential type. The relation of this model to the existence of non-trivial invariant subspaces is discussed.",

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A model for operators with cyclic adjoint

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