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Some inequalities for (alpha, beta)-normal operators in Hilbert spaces

Dragomir, Sever S and Moslehian, M (2008) Some inequalities for (alpha, beta)-normal operators in Hilbert spaces. Facta Universitatis. Series Mathematics and Informatics, 23. pp. 39-47. ISSN 0352-9665

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Abstract

In this paper we establish various inequalities between the operator norm and the numerical radius of (alpha, beta)-normal operators in Hilbert spaces. For this purpose, we employ some classical inequalities for vectors in inner product spaces.

Item Type: Article
Uncontrolled Keywords: ResPubID15171. Hilbert space, inequalities, operator norm, numerical radius, vectors in inner product spaces, α, β
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0101 Pure Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Depositing User: VUIR
Date Deposited: 13 Oct 2011 02:16
Last Modified: 12 Mar 2013 03:47
URI: http://vuir.vu.edu.au/id/eprint/3649
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