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Hyponormality of bounded‐type Toeplitz operators
Author(s) -
Curto Raúl E.,
Hwang In Sung,
Lee Woo Young
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300200
Subject(s) - toeplitz matrix , mathematics , bounded function , type (biology) , symbol (formal) , matrix (chemical analysis) , levinson recursion , function (biology) , divisor (algebraic geometry) , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , computer science , ecology , materials science , evolutionary biology , composite material , biology , programming language
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‐typeToeplitz operators T Φ (i.e., the symbol Φ ∈ L M n ∞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 T Φ when the co‐analytic part of the symbol Φ is a left divisor of the analytic part.