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Some Inequalities for (α,β)-Normal Operators in Hilbert Spaces

Dragomir, Sever S and Moslehian, Mohammad Sal (2007) Some Inequalities for (α,β)-Normal Operators in Hilbert Spaces. Research report collection, 10 (Supp).

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Abstract

An operator T is called (α,β)-normal (0 ≤ α ≤ 1 ≤ β) if α²T*T ≤ TT* ≤ β²T*T. In this paper, we establish various inequalities between the operator norm and its numerical radius of (α,β)-normal operators in Hilbert spaces. For this purpose, we employ some classical inequalities for vectors in inner product spaces.

Item Type: Article
Uncontrolled Keywords: numerical radius, bounded linear operator, Hilbert space, (α,β)-normal operator
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 10 Feb 2012 04:40
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/18002
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