POWERS OF AN INVERTIBLE (s,p)-w-HYPONORMAL OPERATOR

Li Haiying

doi:10.1016/S0252-9602(08)60028-4

Acta mathematica scientia, Series B >

2008 , Vol. 28 >Issue 2: 282 - 288

DOI: https://doi.org/10.1016/S0252-9602(08)60028-4

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POWERS OF AN INVERTIBLE (s,p)-w-HYPONORMAL OPERATOR

Li Haiying

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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

Received date: 2005-12-14

Revised date: 2006-08-28

Online published: 2008-04-20

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Abstract

It is known that the square of a w-hyponormal operator is also w-hyponormal. For any 00, 0characterization of (s,p)-w-hyponormal operators; the author shows that all
integer powers of special (s,p)-w-hyponormal operators are (s,p)-w-hyponormal.

Key words： Furuta inequality; Lowner-Heinz inequality; p-w-hyponormal; (s,p)-w-hyponormal

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Li Haiying . POWERS OF AN INVERTIBLE (s,p)-w-HYPONORMAL OPERATOR[J]. Acta mathematica scientia, Series B, 2008 , 28(2) : 282 -288 . DOI: 10.1016/S0252-9602(08)60028-4

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