The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity

被引：0

作者：

Lauric, Vasile ^{[1
]}

机构：

[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 02期

关键词：

Hilbert-Schmidt modulus of quasitriangularity; Essentially commuting almost normal operators; Essentially commuting almost hyponormal operators; Generalized Fuglede-Putnam theorem; GENERATING-FUNCTIONS;

D O I：

10.1007/s12215-020-00522-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to essentially commuting almost normal operators with finite Hilbert-Schmidt modulus of quasitriangularity.

引用

页码：741 / 752

页数：12

共 12 条

[1] The elementary operator and Fuglede–Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert–Schmidt quasitriangularity
Vasile Lauric
Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 741 - 752
[2] A generalized Fuglede-Putnam theorem for a class of almost normal tuples of operators with finite modulus of Hilbert-Schmidt quasitriangularity
Lauric, Vasile
ACTA SCIENTIARUM MATHEMATICARUM, 2020, 86 (3-4): : 563 - 575
[3] A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity
Lauric, Vasile
CONCRETE OPERATORS, 2016, 3 (01): : 8 - 14
[4] A generalized Fuglede–Putnam theorem for a class of almost normal tuples of operators with finite modulus of Hilbert–Schmidt quasitriangularity
Vasile Lauric
Acta Scientiarum Mathematicarum, 2020, 86 : 563 - 575
[5] A HILBERT-SCHMIDT NORM INEQUALITY ASSOCIATED WITH THE FUGLEDE-PUTNAM THEOREM
FURUTA, T
ARKIV FOR MATEMATIK, 1982, 20 (01): : 157 - 163
[6] GENERALIZED FUGLEDE-PUTNAM THEOREM AND HILBERT-SCHMIDT NORM INEQUALITY
FURUTA, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1982, 58 (02) : 55 - 57
[7] A HILBERT-SCHMIDT NORM INEQUALITY ASSOCIATED WITH THE FUGLEDE-PUTNAM THEOREM
FURUTA, T
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1982, 25 (02) : 177 - 185
[8] AN EXTENSION OF THE FUGLEDE-PUTNAM THEOREM TO SUBNORMAL-OPERATORS USING A HILBERT-SCHMIDT NORM INEQUALITY
FURUTA, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 81 (02) : 240 - 242
[9] COMMUTING ONE-PARAMETER GROUPS OF OPERATORS, OPERATOR AND FUNCTIONAL INEQUALITIES AND THE FUGLEDE-PUTNAM THEOREM
BOYADZHIEV, HN
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1985, 38 (01): : 19 - 22
[10] FUGLEDE COMMUTATIVITY THEOREM MODULO THE HILBERT-SCHMIDT CLASS AND GENERATING FUNCTIONS FOR MATRIX OPERATORS .1.
WEISS, G
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 246 (DEC) : 193 - 209

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