A model for operators with cyclic adjoint |
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Authors: | Aharon Atzmon |
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Institution: | (1) School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69978 Tel-Aviv, Israel |
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Abstract: | It is proved that every bounded linear operator on a complex Banach space whose adjoint has aw
*-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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Keywords: | |
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