Products of Toeplitz operators

Sheldon Axler; Sun Yung A. Chang; Donald Sarason

doi:10.1007/BF01682841

Products of Toeplitz operators

Sheldon Axler, Sun Yung A. Chang, Donald Sarason

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

96 Scopus citations

Abstract

A sufficient condition is found for the product of two Toeplitz operators to be a compact perturbation of a Toeplitz operator. The condition, which comprehends all previously known sufficient conditions, is shown to be necessary under additional hypotheses. The question whether the condition is necessary in general is left open.

Original language	English (US)
Pages (from-to)	285-309
Number of pages	25
Journal	Integral Equations and Operator Theory
Volume	1
Issue number	3
DOIs	https://doi.org/10.1007/BF01682841
State	Published - Sep 1978
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory

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10.1007/BF01682841

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title = "Products of Toeplitz operators",

abstract = "A sufficient condition is found for the product of two Toeplitz operators to be a compact perturbation of a Toeplitz operator. The condition, which comprehends all previously known sufficient conditions, is shown to be necessary under additional hypotheses. The question whether the condition is necessary in general is left open.",

author = "Sheldon Axler and Chang, {Sun Yung A.} and Donald Sarason",

year = "1978",

month = sep,

doi = "10.1007/BF01682841",

language = "English (US)",

volume = "1",

pages = "285--309",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

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T1 - Products of Toeplitz operators

AU - Axler, Sheldon

AU - Chang, Sun Yung A.

AU - Sarason, Donald

PY - 1978/9

Y1 - 1978/9

N2 - A sufficient condition is found for the product of two Toeplitz operators to be a compact perturbation of a Toeplitz operator. The condition, which comprehends all previously known sufficient conditions, is shown to be necessary under additional hypotheses. The question whether the condition is necessary in general is left open.

AB - A sufficient condition is found for the product of two Toeplitz operators to be a compact perturbation of a Toeplitz operator. The condition, which comprehends all previously known sufficient conditions, is shown to be necessary under additional hypotheses. The question whether the condition is necessary in general is left open.

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DO - 10.1007/BF01682841

M3 - Article

AN - SCOPUS:0001447834

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JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

Products of Toeplitz operators

Abstract

All Science Journal Classification (ASJC) codes

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