Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces

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Dragomir, Sever S (2008) Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces. Journal of Mathematical Inequalities, 2 (4). pp. 499-510. ISSN 1846-579X

Abstract

The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators involved.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/3643
Official URL http://jmi.ele-math.com/02-45/Norm-and-numerical-r...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID15191. bounded linear operators, numerical radius, operator norm, inequalities, Hilbert space, linear operators
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