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

Access to Document

10.1017/S0017089504002149

Cite this

@article{4e849467dca64b7ab8d5ff0cce4a0dba,

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).",

author = "Kim, \{Mee Kyoung\} and Eungil, \{K. O.\}",

year = "2005",

month = jan,

doi = "10.1017/S0017089504002149",

language = "English",

volume = "47",

pages = "167--175",

journal = "Glasgow Mathematical Journal",

issn = "0017-0895",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Some connections between an operator and its aluthge transform

AU - Kim, Mee Kyoung

AU - Eungil, K. O.

PY - 2005/1

Y1 - 2005/1

N2 - 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).

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).

UR - https://www.scopus.com/pages/publications/13744256930

U2 - 10.1017/S0017089504002149

DO - 10.1017/S0017089504002149

M3 - Article

AN - SCOPUS:13744256930

SN - 0017-0895

VL - 47

SP - 167

EP - 175

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 1

ER -

Some connections between an operator and its aluthge transform

Abstract

Access to Document

Fingerprint

Cite this