Toeplitz operators with semi-almost-periodic matrix symbols on Hardy spaces

被引：7

作者：

Böttcher, A ^{[1
]}

Karlovich, YI

Spitkovsky, I

机构：

[1] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany

[2] Inst Politecn Nacl, CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico

[3] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

ACTA APPLICANDAE MATHEMATICAE | 2001年 / 65卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

Toeplitz operator; Fredholm operator; index formula; almost periodic function; spectrum; essential spectrum;

D O I：

10.1023/A:1010683522795

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a Fredholm criterion and an index formula for Toeplitz operators with semi-almost-periodic matrix symbols on the Hardy spaces H-p (1 < p < infinity). Our main result completes the Fredholm theory of the aforementioned operators and generalizes previous results, which concerned the case p = 2 or were based on certain additional assumptions, such as factorizability, for the almost-periodic representatives of the symbol.

引用

页码：115 / 136

页数：22

共 22 条

[1]

[Anonymous], 1981, Operator Theory: Advances and Applications

[2]

[Anonymous], MATH USSR IZVESTIYA

[3] Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions [J].