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Methods of Kreĭn Space Operator Theory

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Book cover Interpolation Theory, Systems Theory and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 134))

Abstract

This paper is a survey of old and recent methods of Krein space operator theory centering around Julia operators, extension problems for contraction operators, Hermitian kernels, and uniqueness questions. Examples related to coefficient problems for univalent functions are briefly discussed.

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Authors and Affiliations

  1. Department of Mathematics, University of Virginia, P. O. Box 400137, Charlottesville, 22903-3199, VA, USA

    James Rovnyak

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  1. James Rovnyak
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  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Beer Sheva, 84105, Israel

    Daniel Alpay  & Victor Vinnikov  & 

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

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Rovnyak, J. (2002). Methods of Kreĭn Space Operator Theory. In: Alpay, D., Vinnikov, V., Gohberg, I. (eds) Interpolation Theory, Systems Theory and Related Topics. Operator Theory: Advances and Applications, vol 134. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8215-6_4

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  • DOI: https://doi.org/10.1007/978-3-0348-8215-6_4

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