Fuglede–Putnam-Type Theorems for the Extensions of M-Hyponormal Operators

We consider k -quasi- M -hyponormal operators T ∈ B (ℋ) such that TX = XS for some X ∈ B K ℋ and prove a Fuglede–Putnam-type theorem when the adjoint of S ∈ B K is either a k -quasi- M -hyponormal or a dominant operator. We also show that two quasisimilar k -quasi- M -hyponormal operators have ident...

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Bibliographic Details
Published inUkrainian mathematical journal Vol. 74; no. 1; pp. 102 - 113
Main Authors Mecheri, S., Prasad, T.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2022
Springer
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Operators
Statistics
Theorems
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Summary:We consider k -quasi- M -hyponormal operators T ∈ B (ℋ) such that TX = XS for some X ∈ B K ℋ and prove a Fuglede–Putnam-type theorem when the adjoint of S ∈ B K is either a k -quasi- M -hyponormal or a dominant operator. We also show that two quasisimilar k -quasi- M -hyponormal operators have identical essential spectra.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-022-02050-0