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Applications of Blaschke Products to the Spectral Theory of Toeplitz Operators Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Recent Progress on Truncated Toeplitz Operators

Authors : Stephan Ramon Garcia, William T. Ross

Published in: Blaschke Products and Their Applications

Publisher: Springer US

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Abstract

This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason’s seminal paper (Oper. Matrices 1(4):491–526, 2007).

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previous chapter Polynomials Versus Finite Blaschke Products
Footnotes
1
Equivalently, \(G(1/z) \in H^{p}_{0}\).
 
2
Written as an integral transform, P u can be regarded as an operator from L 1 into \(\mbox{Hol}(\mathbb{D})\).
 
3
Recall that we are using the notation \(\widetilde{f} := C f\) for \(f \in\mathcal {K}_{u}\).
 
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Metadata
Title
Recent Progress on Truncated Toeplitz Operators
Authors
Stephan Ramon Garcia
William T. Ross
Copyright Year
2013
Publisher
Springer US
Book
Blaschke Products and Their Applications

Print ISBN: 978-1-4614-5340-6

Electronic ISBN: 978-1-4614-5341-3

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-5341-3_15

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