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The iterated Aluthge transform of an operator

Title
The iterated Aluthge transform of an operator
Authors
Jung I.B.Ko E.Pearcy C.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2003
Journal Title
Integral Equations and Operator Theory
ISSN
0378-620XJCR Link
Citation
vol. 45, no. 4, pp. 375 - 387
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
The Aluthge transform T̃ (defined below) of an operator T on Hilbert space has been studied extensively, most often in connection with p-hyponormal operators. In [6] the present authors initiated a study of various relations between an arbitrary operator T and its associated T̃, and this study was continued in [7], in which relations between the spectral pictures of T and T̃ were obtained. This article is a continuation of [6] and [7]. Here we pursue the study of the sequence of Aluthge iterates {T̃(n)} associated with an arbitrary operator T. In particular, we verify that in certain cases the sequence {T̃(n)}converges to a normal operator, which partially answers Conjecture 1.11 in [6] and its modified version below (Conjecture 5.6).
DOI
10.1007/s000200300012
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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