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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Generalized Aluthge transformation
on $p$-hyponormal operators


Author: Takayuki Furuta
Journal: Proc. Amer. Math. Soc. 124 (1996), 3071-3075
MSC (1991): Primary 47B20, 47A63
MathSciNet review: 1350943
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Abstract: We shall introduce a generalized Aluthge transformation on $p$-
hyponormal operators and also, by using the Furuta inequality, we shall give several properties on this generalized Aluthge transformation as further extensions of some results of Aluthge.


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Additional Information

Takayuki Furuta
Affiliation: Department of Applied Mathematics, Faculty of Science, Science University of Tokyo, 1-3 Kagurazaka, Shinjuku, Tokyo 162, Japan

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03580-0
PII: S 0002-9939(96)03580-0
Keywords: $p$-hyponormal operator, Aluthge transformation, Furuta inequality
Received by editor(s): March 9, 1995
Additional Notes: The author’s research was supported in part by Grant-in-Aid for Scientific Research
Dedicated: Dedicated to Professor C. R. Putnam on his retirement with respect and affection
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society