The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity (Q2047446)
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scientific article; zbMATH DE number 7383952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity |
scientific article; zbMATH DE number 7383952 |
Statements
The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity (English)
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20 August 2021
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The main purpose of this paper is to extend the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to non-normal operators. Where the generalization is given in the context of essentially commuting almost normal operators.
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Hilbert-Schmidt modulus of quasitriangularity
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essentially commuting almost normal operators
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essentially commuting almost hyponormal operators
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generalized Fuglede-Putnam theorem
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