On backward Aluthge iterates of hyponormal operators

Eungil Ko; Mee Jung Lee

doi:10.7153/mia-18-86

On backward Aluthge iterates of hyponormal operators

Eungil Ko, Mee Jung Lee

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper we study several remarkable properties of the backward Aluthge iterates of a hyponormal operator. In particular, we show that, under suitable conditions, operators in BAIH(k) admit a moment sequence and have nontrivial hyperinvariant subspaces.

Original language	English
Pages (from-to)	1121-1133
Number of pages	13
Journal	Mathematical Inequalities and Applications
Volume	18
Issue number	3
DOIs	https://doi.org/10.7153/mia-18-86
State	Published - 1 Jul 2015

Bibliographical note

Publisher Copyright:
© Element.

Keywords

Backward Aluthge iterate
Hyponormal operator
Invariant subspace

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10.7153/mia-18-86

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KW - Backward Aluthge iterate

KW - Hyponormal operator

KW - Invariant subspace

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On backward Aluthge iterates of hyponormal operators

Abstract

Bibliographical note

Keywords

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