The analytic model of a hyponormal operator with rank one self-commutator

Joel D. Pincus; Daoxing Xia; Jingbo Xia

doi:10.1007/BF01238864

The analytic model of a hyponormal operator with rank one self-commutator

Joel D. Pincus
, Daoxing Xia
, Jingbo Xia

Mathematics

Stony Brook University
Institute for Advanced Studies
Fudan University

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

35 Scopus citations

Abstract

The analytic model of a general hyponormal operator with rank one self-commutator is obtained. A Cauchy integral representation for the adjoint is given, certain kernels are discussed, and conditions are given under which the hyponormal operator is similar to a subnormal Toeplitz operator.

Original language	English
Pages (from-to)	516-535
Number of pages	20
Journal	Integral Equations and Operator Theory
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/BF01238864
State	Published - Jul 1984

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title = "The analytic model of a hyponormal operator with rank one self-commutator",

abstract = "The analytic model of a general hyponormal operator with rank one self-commutator is obtained. A Cauchy integral representation for the adjoint is given, certain kernels are discussed, and conditions are given under which the hyponormal operator is similar to a subnormal Toeplitz operator.",

author = "Pincus, \{Joel D.\} and Daoxing Xia and Jingbo Xia",

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N2 - The analytic model of a general hyponormal operator with rank one self-commutator is obtained. A Cauchy integral representation for the adjoint is given, certain kernels are discussed, and conditions are given under which the hyponormal operator is similar to a subnormal Toeplitz operator.

AB - The analytic model of a general hyponormal operator with rank one self-commutator is obtained. A Cauchy integral representation for the adjoint is given, certain kernels are discussed, and conditions are given under which the hyponormal operator is similar to a subnormal Toeplitz operator.

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DO - 10.1007/BF01238864

M3 - Article

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ER -

The analytic model of a hyponormal operator with rank one self-commutator

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