Some connections between an operator and its aluthge transform

Mee Kyoung Kim, K. O. Eungil

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Associated with T = U|T| (polar decomposition) in ℒ(H) is a related operator T̃ = |T|1/2 U|T|1/2, called the Aluthge transform of T. In this paper we study some connections between T and T̃, including the following relations; the single valued extension property, an analogue of the single valued extension property on Wm(D, H), Dunford's property (C) and the property (β).

Original languageEnglish
Pages (from-to)167-175
Number of pages9
JournalGlasgow Mathematical Journal
Volume47
Issue number1
DOIs
StatePublished - Jan 2005

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