Numerical ranges of Toeplitz operators with matrix symbols

Natalia Bebiano; Ilya M. Spitkovsky

doi:10.1016/j.laa.2011.06.019

Numerical ranges of Toeplitz operators with matrix symbols

Natalia Bebiano, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For Toeplitz operators acting on the vector Hardy space H² with definite or indefinite metric, the closure of the respective numerical range is completely described. In the definite case, some observations regarding its boundary are also made.

Original language	English (US)
Pages (from-to)	1721-1726
Number of pages	6
Journal	Linear Algebra and Its Applications
Volume	436
Issue number	6
DOIs	https://doi.org/10.1016/j.laa.2011.06.019
State	Published - Mar 15 2012

Keywords

Numerical range
Toeplitz operators

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2011.06.019

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title = "Numerical ranges of Toeplitz operators with matrix symbols",

abstract = "For Toeplitz operators acting on the vector Hardy space H2 with definite or indefinite metric, the closure of the respective numerical range is completely described. In the definite case, some observations regarding its boundary are also made.",

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JO - Linear Algebra and Its Applications

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Numerical ranges of Toeplitz operators with matrix symbols

Abstract

Keywords

ASJC Scopus subject areas

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