ON RELAXATION NORMALITY IN THE FUGLEDE-PUTNAM THEOREM FOR A QUASI-CLASS A OPERATORS

被引：7

作者：

Rashid, M. H. M. ^{[1
]}

Noorani, M. S. M. ^{[2
]}

机构：

[1] Mutah Univ, Fac Sci, Dept Math & Stat, POB 7, Mutah, Jordan

[2] UKM, Fac Sci & Technol, Sch Math Sci, Selangor Darul Ehsan 43600, Malaysia

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2009年 / 40卷 / 03期

关键词：

Fuglede-Putnam theorem; quasi-class A;

D O I：

10.5556/j.tkjm.40.2009.508

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a bounded linear operator acting on a complex Hubert space H. In this paper, we show that if A is quasi-class A, B* is invertible quasi-class A, X is a Hilbert-Schmidt operator, AX = XB and parallel to vertical bar A*vertical bar parallel to parallel to vertical bar B vertical bar <= 1 then A*X = XB*.

引用

页码：307 / 312

页数：6

共 13 条

[1]

Aluthge A, 1999, MATH INEQUAL APPL, V2, P113

[2] w-Hyponormal operators [J].

Aluthge, A ;

Wang, DM .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2000, 36 (01) :1-10

[3] EXTENSIONS OF A THEOREM OF FUGLEDE AND PUTNAM [J].

BERBERIAN, SK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 71 (01) :113-114

[4] An operator transform from class A to the class of hyponormal operators and its application [J].

Cho, M ;

Yamazaki, T .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2005, 53 (04) :497-508

[5]

Conway J., 1990, COURSE FUNCTIONAL AN

[6]

Duggal BP, 2006, J KOREAN MATH SOC, V43, P899

[7]

Furuta T., 1998, SCIENTIAE MATHEMATIC, V1, P389

[8]

Halmos P.R., 1982, HILBERT SPACE PROBLE

[9]

Ito M, 1999, MATH INEQUAL APPL, V2, P569

[10]

Jeon IH, 2003, MATH INEQUAL APPL, V6, P309

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