n-tuples of operators satisfying σT (AB)=σT (BA)

被引：10

作者：

Cho, M

Curto, RE ^{[1
]}

Huruya, T

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Kanagawa Univ, Dept Math, Yokohama, Kanagawa 2218686, Japan

[3] Niigata Univ, Fac Educ & Human Sci, Niigata 9502181, Japan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 341卷 / 1-3期

关键词：

criss-cross commuting; spectral equality; Taylor spectrum;

D O I：

10.1016/S0024-3795(01)00407-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For "criss-cross commuting" tuples A and B of Banach space operators we give two sufficient conditions for the spectral equality sigma (T) (AB) = sigma (T) (BA). (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：291 / 298

页数：8

共 12 条

[1] Common operator properties of the linear operators RS and SR [J].

Barnes, BA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (04) :1055-1061

[2]

Bonsall F. F., 1973, Ergeb. Math. Grenzgeb., V80

[3] JOINT SPECTRA OF COMMUTING NORMAL OPERATORS ON BANACH-SPACES [J].

CHO, M .

GLASGOW MATHEMATICAL JOURNAL, 1988, 30 :339-345

[4]

Harte R., 1997, J OPERAT THEOR, V37, P303

[5] Taylor spectral invariance for crisscross commuting pairs on Banach spaces [J].

Li, SK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (07) :2069-2071

[6]

LI SK, 1992, CHINESE SCI BULL, V37, P1849

[7] COMPARISON OF JOINT SPECTRA FOR CERTAIN CLASSES OF COMMUTING OPERATORS [J].

MCINTOSH, A ;

PRYDE, A ;

RICKER, W .

STUDIA MATHEMATICA, 1988, 88 (01) :23-36

[8]

SLODKOWSKI Z, 1974, STUD MATH, V50, P127

[9]

TAYLOR J. L., 1970, Journal of Functional Analysis, V6, P172, DOI 10.1016/0022-1236(70)90055-8

[10] PAIRS OF COMMUTING OPERATORS [J].

VASILESCU, FH .

STUDIA MATHEMATICA, 1978, 62 (02) :203-207

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