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Dual Algebras and Invariant Subspaces

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A Glimpse at Hilbert Space Operators

Part of the book series: Operator Theory Advances and Applications ((OT,volume 207))

Abstract

We will discuss methods for proving invariant space results which were first introduced by Scott Brown for subnormal operators. These methods are now related with the idea of a dual algebra.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Bloomington, IN, 47405, USA

    Hari Bercovici

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  1. Hari Bercovici
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Editors and Affiliations

  1. Department of Mathematics, San Francisco State University, San Francisco, CA, 94132-3163, USA

    Sheldon Axler

  2. Department of Mathematics, University of Toronto, Toronto, ON, MS5 2E4, Canada

    Peter Rosenthal

  3. Department of Mathematics, University of California, Berkeley, CA, 94720-3840, USA

    Donald Sarason

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In memory of Paul Halmos, who knew how to ask the right questions

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Bercovici, H. (2010). Dual Algebras and Invariant Subspaces. In: Axler, S., Rosenthal, P., Sarason, D. (eds) A Glimpse at Hilbert Space Operators. Operator Theory Advances and Applications, vol 207. Springer, Basel. https://doi.org/10.1007/978-3-0346-0347-8_10

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