On backward Aluthge iterates of hyponormal operators

Eungil Ko, Mee Jung Lee

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1121-1133
Number of pages13
JournalMathematical Inequalities and Applications
Volume18
Issue number3
DOIs
StatePublished - 1 Jul 2015

Bibliographical note

Publisher Copyright:
© Element.

Keywords

  • Backward Aluthge iterate
  • Hyponormal operator
  • Invariant subspace

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