On Fuglede–Putnam properties

Seonjin Jo; Yoenha Kim; Eungil Ko

doi:10.1007/s11117-015-0335-7

On Fuglede–Putnam properties

Seonjin Jo, Yoenha Kim, Eungil Ko

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we study the Fuglede–Putnam property. We give a necessary and sufficient condition for which (Formula presented.) satisfies the Fuglede–Putnam property. We also study the local spectral theory associated with the Fuglede–Putnam property. Finally, we define the weak Fuglede–Putnam property and we investigate several cases which satisfy the weak Fuglede–Putnam property.

Original language	English
Pages (from-to)	911-925
Number of pages	15
Journal	Positivity
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s11117-015-0335-7
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Springer Basel.

Keywords

Aluthge transform
Commutator
Fuglede–Putnam theorem
Generalized commutator
Normal operator

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10.1007/s11117-015-0335-7

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KW - Aluthge transform

KW - Commutator

KW - Fuglede–Putnam theorem

KW - Generalized commutator

KW - Normal operator

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On Fuglede–Putnam properties

Abstract

Bibliographical note

Keywords

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