The Spectral Theory of Toeplitz Operators Applied to
Approximation Problems in Hilbert Spaces |
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Authors: | Martin Smith |
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Institution: | (1) Department of Mathematics, University of York, Heslington, York YO10 5DD , England |
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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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Keywords: | |
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