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Concrete Operators

Ed. by Ross, William / Mashreghi, Javad

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Mathematical Citation Quotient (MCQ) 2017: 0.34

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2299-3282
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Finite sections of truncated Toeplitz operators

Steffen Roch
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  • Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289 Darmstadt, Germany
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Published Online: 2014-12-12 | DOI: https://doi.org/10.2478/conop-2014-0002

Abstract

We describe the C*-algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space K2u where u is an infinite Blaschke product. As consequences, we get a stability criterion for the finite sections discretization and results on spectral and pseudospectral approximation.

Keywords : Model spaces; truncated Toeplitz operators; Widom’s identity; stability of the finite sections discretization

References

  • Google Scholar

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  • [4] Treil, S.R., Invertibility of Toeplitz operators does not imply applicability of the finite section method, Dokl. Akad. Nauk SSSR, 1987, 3, 563-567 (Russian) Google Scholar

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  • [8] Garcia, S.R., Ross, W.T., Wogen, W.R., C*-algebras generated by truncated Toeplitz operators, In: Cepedello Boiso, M., Hedenmalm, H., Kaashoek, M., Montes Rodriguez, A., Treil, S. (Eds). Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation, 22nd Workshop in Operator Theory and Its Applications (Sevilla, July 2011), Springer, Basel, 2014, 181-192 Google Scholar

About the article

Received: 2014-01-24

Accepted: 2014-04-23

Published Online: 2014-12-12


Citation Information: Concrete Operators, Volume 2, Issue 1, ISSN (Online) 2299-3282, DOI: https://doi.org/10.2478/conop-2014-0002.

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© 2014 Steffen Roch. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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