Generalized Fuglede-Putnam theorem for A-normal operators

被引：0
|
作者：
Saddi, Adel [1 ]
Sedki, Amira [1 ]
机构：
[1] Univ Gabes, Fac Sci Gabes, Lab Math & Applicat LR17ES11, Gabes, Tunisia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2024年
关键词：
Semi-inner product; A-positive operators; A-normal operators; (alpha; beta)-A-normal operators;
D O I：
10.1142/S1793557124501316
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use a new version of Fuglede-Putnam theorem to establish a relation between the classes of A-normal and n-A-normal operators, where A is a given non-negative operator, so that many other results related to these classes will be obtained. Moreover, we characterize linear transformations defined on a separable Hilbert space that preserve the given classes of operators. In the second strand of the paper, we present a type of generalizations of the considered Theorem for (alpha,beta)-A-normal operators.
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页数：15
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