W-hyponormal operators have scalar extensions

Eungil Ko

doi:10.1007/s00020-003-1323-z

W-hyponormal operators have scalar extensions

Eungil Ko

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper we show that every w-hyponormal operator has a scalar extension, i.e. is similar to the restriction to an invariant subspace of a scalar operator of order 4. As a corollary, we obtain that every w-hyponormal operator satisfies the property (β).

Original language	English
Pages (from-to)	363-372
Number of pages	10
Journal	Integral Equations and Operator Theory
Volume	53
Issue number	3
DOIs	https://doi.org/10.1007/s00020-003-1323-z
State	Published - Nov 2005

Keywords

Subscalar operators
The property (β)
W-hyponormal

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10.1007/s00020-003-1323-z

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title = "W-hyponormal operators have scalar extensions",

abstract = "In this paper we show that every w-hyponormal operator has a scalar extension, i.e. is similar to the restriction to an invariant subspace of a scalar operator of order 4. As a corollary, we obtain that every w-hyponormal operator satisfies the property (β).",

keywords = "Subscalar operators, The property (β), W-hyponormal",

author = "Eungil Ko",

note = "Funding Information: The author was supported by Korea Research Foundation Grant (KRF-2002-015-CP0044).",

year = "2005",

month = nov,

doi = "10.1007/s00020-003-1323-z",

language = "English",

volume = "53",

pages = "363--372",

journal = "Integral Equations and Operator Theory",

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publisher = "Birkhauser Verlag Basel",

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T1 - W-hyponormal operators have scalar extensions

AU - Ko, Eungil

N1 - Funding Information: The author was supported by Korea Research Foundation Grant (KRF-2002-015-CP0044).

PY - 2005/11

Y1 - 2005/11

N2 - In this paper we show that every w-hyponormal operator has a scalar extension, i.e. is similar to the restriction to an invariant subspace of a scalar operator of order 4. As a corollary, we obtain that every w-hyponormal operator satisfies the property (β).

AB - In this paper we show that every w-hyponormal operator has a scalar extension, i.e. is similar to the restriction to an invariant subspace of a scalar operator of order 4. As a corollary, we obtain that every w-hyponormal operator satisfies the property (β).

KW - Subscalar operators

KW - The property (β)

KW - W-hyponormal

UR - http://www.scopus.com/inward/record.url?scp=27844513418&partnerID=8YFLogxK

U2 - 10.1007/s00020-003-1323-z

DO - 10.1007/s00020-003-1323-z

M3 - Article

AN - SCOPUS:27844513418

SN - 0378-620X

VL - 53

SP - 363

EP - 372

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

W-hyponormal operators have scalar extensions

Abstract

Keywords

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