Spectral pictures of Aluthge transforms of operators

Il Bong Jung, Eungil Ko, Carl Pearcy

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

In this paper we continue our study, begun in [12], of the relationships between an arbitrary operator T on Hubert space and its Aluthge transform T̃. In particular, we show that in most cases the spectral picture of T coincides with that of T̃, and we obtain some interesting connections between T and T̃ as a consequence.

Original languageEnglish
Pages (from-to)52-60
Number of pages9
JournalIntegral Equations and Operator Theory
Volume40
Issue number1
DOIs
StatePublished - May 2001

Bibliographical note

Funding Information:
Acknowledgement. This paper was written while the third author was visiting Korea in 1999. The first author was supported by KOSEF 971-0102-006-2. The second author was supported by the MOST through National R&D program (97-N6-01-01-A-5) for Women's Universities. The third author acknowledges support from the National Science Foundation.

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