Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight

A. Böttcher; Yu I. Karlovich; I. M. Spitkovsky

doi:10.1007/BF01206293

Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight

A. Böttcher, Yu I. Karlovich, I. M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish Fredholm criteria and index formulas for Toeplitz operators with semialmost periodic matrix-valued symbols on the Hardy spaces corresponding to L^p spaces on the real line with Muckenhoupt weight. In the scalar case, these results imply descriptions of the spectrum and, in particular, invertibility criteria.

Original language	English (US)
Pages (from-to)	261-276
Number of pages	16
Journal	Integral Equations and Operator Theory
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/BF01206293
State	Published - Sep 1994

Keywords

MSC 1991: Primary 47B35, Secondary 39A10, 42A75, 45E05, 45E10, 47A68

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01206293

Cite this

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abstract = "We establish Fredholm criteria and index formulas for Toeplitz operators with semialmost periodic matrix-valued symbols on the Hardy spaces corresponding to Lp spaces on the real line with Muckenhoupt weight. In the scalar case, these results imply descriptions of the spectrum and, in particular, invertibility criteria.",

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author = "A. B{\"o}ttcher and Karlovich, {Yu I.} and Spitkovsky, {I. M.}",

year = "1994",

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T1 - Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight

AU - Böttcher, A.

AU - Karlovich, Yu I.

AU - Spitkovsky, I. M.

PY - 1994/9

Y1 - 1994/9

N2 - We establish Fredholm criteria and index formulas for Toeplitz operators with semialmost periodic matrix-valued symbols on the Hardy spaces corresponding to Lp spaces on the real line with Muckenhoupt weight. In the scalar case, these results imply descriptions of the spectrum and, in particular, invertibility criteria.

AB - We establish Fredholm criteria and index formulas for Toeplitz operators with semialmost periodic matrix-valued symbols on the Hardy spaces corresponding to Lp spaces on the real line with Muckenhoupt weight. In the scalar case, these results imply descriptions of the spectrum and, in particular, invertibility criteria.

KW - MSC 1991: Primary 47B35, Secondary 39A10, 42A75, 45E05, 45E10, 47A68

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U2 - 10.1007/BF01206293

DO - 10.1007/BF01206293

M3 - Article

AN - SCOPUS:0012484897

SN - 0378-620X

VL - 18

SP - 261

EP - 276

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight

Abstract

Keywords

ASJC Scopus subject areas

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