Hyponormality of bounded‐type Toeplitz operators

Raúl E Curto; In Sung Hwang; Woo Young Lee

doi:10.1002/mana.201300200

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Hyponormality of bounded‐type Toeplitz operators

Journal article

Peer reviewed

Hyponormality of bounded‐type Toeplitz operators

Raúl E Curto, In Sung Hwang and Woo Young Lee

Mathematische Nachrichten, Vol.287(11-12), pp.1207-1222

08/2014

DOI: 10.1002/mana.201300200

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Abstract

In this paper we deal with the hyponormality of Toeplitz operators with matrix‐valued symbols. The aim of this paper is to provide a tractable criterion for the hyponormality of bounded‐type Toeplitz operators TΦ (i.e., the symbol Φ∈LMn∞ is a matrix‐valued function such that Φ and Φ* are of bounded type). In particular, we get a much simpler criterion for the hyponormality of TΦ when the co‐analytic part of the symbol Φ is a left divisor of the analytic part.

32A35

pseudo‐hyponormal

Hardy spaces

30E05

47B20

matrix‐valued symbols

rational functions

functions of bounded type

42B30

47B35

hyponormal

Toeplitz operators

interpolation problems

Details

Title: Subtitle: Hyponormality of bounded‐type Toeplitz operators
Creators: Raúl E Curto - University of Iowa
In Sung Hwang - Sungkyunkwan University
Woo Young Lee - Seoul National University
Resource Type: Journal article
Publication Details: Mathematische Nachrichten, Vol.287(11-12), pp.1207-1222
DOI: 10.1002/mana.201300200
ISSN: 0025-584X
eISSN: 1522-2616
Number of pages: 16
Grant note: Korea government (MSIP) (2009‐0083521) Ministry of Education, Science and Technology (2011‐0022577)
Language: English
Date published: 08/2014
Academic Unit: Mathematics
Record Identifier: 9983985961802771

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