Some connections between an operator and its aluthge transform

Mee Kyoung Kim; K. O. Eungil

doi:10.1017/S0017089504002149

Some connections between an operator and its aluthge transform

Mee Kyoung Kim, K. O. Eungil

Department of Mathematics

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

14 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 W^m(D, H), Dunford's property (C) and the property (β).

Original language	English
Pages (from-to)	167-175
Number of pages	9
Journal	Glasgow Mathematical Journal
Volume	47
Issue number	1
DOIs	https://doi.org/10.1017/S0017089504002149
State	Published - Jan 2005

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title = "Some connections between an operator and its aluthge transform",

abstract = "Associated with T = U|T| (polar decomposition) in ℒ(H) is a related operator {\~T} = |T|1/2 U|T|1/2, called the Aluthge transform of T. In this paper we study some connections between T and {\~T}, 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).",

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AB - 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).

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Some connections between an operator and its aluthge transform

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