Q-Norm Inequalities for Sequences of Hilbert Space Operators

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Dragomir, Sever S, Moslehian, M. S and Sándor, József (2008) Q-Norm Inequalities for Sequences of Hilbert Space Operators. Research report collection, 11 (2).

Abstract

We give some inequalities related to a large class of operator norm, the so-called Q-norms, for a (not necessary commutative) family of bounded linear operators acting on a Hilbert space that are related to the classical Schwarz inequality. Applications for vector inequalities are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17615
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords bounded linear operators, Hilbert spaces, Schwarz inequality, commuting operators, Cartesian decomposition of operators
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