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

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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

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
URI https://vuir.vu.edu.au/id/eprint/3649
Official URL http://facta.junis.ni.ac.rs/mai/mai23/mai23sadrzaj...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Current > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID15171. Hilbert space, inequalities, operator norm, numerical radius, vectors in inner product spaces, α, β
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