On Toeplitz operators with unimodular symbols: Left invertibility and similarity to isometries

被引：0
|
作者：
Gamal' M.F. [1 ]
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
来源：
Journal of Mathematical Sciences | 2011年 / 172卷 / 2期
关键词：
Russia; Unit Circle; Real Function; Hardy Space; Toeplitz Operator;
D O I：
10.1007/s10958-010-0191-8
中图分类号：
学科分类号：
摘要：
We consider Toeplitz operators with unimodular symbols on the Hardy space H2 on the unit circle. Examples of inner functions θ andareal function w such that {double pipe}w{double pipe} ∞ = π/2 and the Toeplitz operator with symbol θeiw is not left-invertible are given. We also study Toeplitz operators that are similar to isometries. Bibliography: 28 titles. © 2010 Springer Science+Business Media, Inc.
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页码：185 / 194
页数：9
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