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January 1999 Some classes of operators associated with generalized Aluthge transformation
Masatoshi Ito
Author Affiliations +
SUT J. Math. 35(1): 149-165 (January 1999). DOI: 10.55937/sut/991985425

Abstract

In this paper, firstly we shall give simplified proofs of the results on generalized Aluthge transformation in [11][12][14] and [16]. Secondly we shall discuss a generalization of both classes of class A(k) operators defined in [9] and w-hyponormal operators defined in [2].

Acknowledgement

The author would like to express his cordial thanks to Professor Takayuki Furuta for his kindly guidance and encouragement.

Citation

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Masatoshi Ito. "Some classes of operators associated with generalized Aluthge transformation." SUT J. Math. 35 (1) 149 - 165, January 1999. https://doi.org/10.55937/sut/991985425

Information

Received: 19 April 1999; Published: January 1999
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/991985425

Subjects:
Primary: 47A63 , 47B20

Keywords: class A(k) operator , ‎Furuta inequality , generalized Aluthge transformation , log-hyponormal operator , p-hyponormal operator , w-hyponormal operator

Rights: Copyright © 1999 Tokyo University of Science

Vol.35 • No. 1 • January 1999
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