Spectral pictures of Aluthge transforms of operators

Il Bong Jung; Eungil Ko; Carl Pearcy

doi:10.1007/BF01202954

Spectral pictures of Aluthge transforms of operators

Il Bong Jung, Eungil Ko, Carl Pearcy

Department of Mathematics

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

49 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 language	English
Pages (from-to)	52-60
Number of pages	9
Journal	Integral Equations and Operator Theory
Volume	40
Issue number	1
DOIs	https://doi.org/10.1007/BF01202954
State	Published - 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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10.1007/BF01202954

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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 {\~T}. In particular, we show that in most cases the spectral picture of T coincides with that of {\~T}, and we obtain some interesting connections between T and {\~T} as a consequence.",

author = "Jung, {Il Bong} and Eungil Ko and Carl Pearcy",

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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Spectral pictures of Aluthge transforms of operators

Abstract

Bibliographical note

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