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The Operator Fejér-Riesz Theorem

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A Glimpse at Hilbert Space Operators

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

Abstract

The Fejér-Riesz theorem has inspired numerous generalizations in one and several variables, and for matrix- and operator-valued functions. This paper is a survey of some old and recent topics that center around Rosenblum’s operator generalization of the classical Fejér-Riesz theorem.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics Herschel Building, University of Newcastle, Newcastle upon Tyne, NE1 7RU, UK

    Michael A. Dritschel

  2. Department of Mathematics, University of Virginia, P. O. Box 400137, Charlottesville, VA, 22904-4137, USA

    James Rovnyak

Authors
  1. Michael A. Dritschel
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  2. James Rovnyak
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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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To the memory of Paul Richard Halmos

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Dritschel, M.A., Rovnyak, J. (2010). The Operator Fejér-Riesz Theorem. 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_14

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