Aluthge transforms of operators

Il Bong Jung, Eungil Ko, Carl Pearcy

Research output: Contribution to journalArticlepeer-review

140 Scopus citations

Abstract

Associated with every operator T on Hilbert space is its Aluthge transform T̃ (defined below). In this note we study various connections between T and T̃, including relations between various spectra, numerical ranges, and lattices of invariant subspaces. In particular, we show that if T̃ has a nontrivial invariant subspace, then so does T, and we give various applications of our results.

Original languageEnglish
Pages (from-to)437-448
Number of pages12
JournalIntegral Equations and Operator Theory
Volume37
Issue number4
DOIs
StatePublished - 2000

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