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Some invariant subspaces for subnormal operators

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Abstract

A theorem of D.E. Sarason is used to show that all subnormal operators have nontrivial invariant subspaces if some very special subnormal operators have them. It is then shown that these special subnormal operators as well as certain other operators do in fact have nontrivial invariant subspaces.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA

    Scott W. Brown

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  1. Scott W. Brown
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Brown, S.W. Some invariant subspaces for subnormal operators. Integr equ oper theory 1, 310–333 (1978). https://doi.org/10.1007/BF01682842

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  • DOI: https://doi.org/10.1007/BF01682842

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