On Fuglede–Putnam properties

Seonjin Jo, Yoenha Kim, Eungil Ko

Research output: Contribution to journalArticlepeer-review

4 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 languageEnglish
Pages (from-to)911-925
Number of pages15
JournalPositivity
Volume19
Issue number4
DOIs
StatePublished - 1 Dec 2015

Keywords

  • Aluthge transform
  • Commutator
  • Fuglede–Putnam theorem
  • Generalized commutator
  • Normal operator

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