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What Can Hilbert Spaces Tell Us About Bounded Functions in the Bidisk?

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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 discuss various theorems about bounded analytic functions on the bidisk that were proved using operator theory.

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Author information

Authors and Affiliations

  1. U.C. San Diego, La Jolla, CA, 92093, USA

    Jim Agler

  2. Washington University, St. Louis, MO, 63130, USA

    John E. McCarthy

Authors
  1. Jim Agler
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  2. John E. McCarthy
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Editor information

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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Dedicated to the memory of Paul R. Halmos

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Agler, J., McCarthy, J.E. (2010). What Can Hilbert Spaces Tell Us About Bounded Functions in the Bidisk?. 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_7

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