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The Spectral Theory of Toeplitz Operators Applied to Approximation Problems in Hilbert Spaces

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Constructive Approximation Aims and scope

Abstract

The solution to a particular constrained approximation problem, in an abstract Hilbert space setting, may be interpreted in terms of a generalised Toeplitz operator. We consider concrete versions of this problem, in settings which involve generalised Hardy spaces, Paley–Wiener spaces and the Segal–Bargmann space, and derive spectral representations of the associated Toeplitz operators.

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  1. Department of Mathematics, University of York, Heslington, York YO10 5DD , England

    Martin Smith

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  1. Martin Smith
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Correspondence to Martin Smith.

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Smith, M. The Spectral Theory of Toeplitz Operators Applied to Approximation Problems in Hilbert Spaces. Constr Approx 22, 47–65 (2005). https://doi.org/10.1007/s00365-004-0591-4

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  • DOI: https://doi.org/10.1007/s00365-004-0591-4

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