Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom