Elementarni operatori i transformacije tipa skalarnog proizvoda na idealima kompaktnih operatora generisanim p-modifikovanim normama i njihovim dualima

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Elementarni operatori i transformacije tipa skalarnog proizvoda na idealima kompaktnih operatora generisanim p-modifikovanim normama i njihovim dualima

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Title: Elementarni operatori i transformacije tipa skalarnog proizvoda na idealima kompaktnih operatora generisanim p-modifikovanim normama i njihovim dualima
Author: Milošević, Stefan
Abstract: In this paper we present some norm inequalities for certain elementary operators and inner product type transformers, specially for Schatten norms, if the families of operators generating those transforms consists of arbitrary operators, and Q norms if at least one of those families consists of mutually commuting normal operators. Among others, we present inequalities that are generalizing the inequality p I􀀀A AX p I􀀀B B 6 X 􀀀AXB ; from [11, Th. 2.3], for normal contractions and arbitrary unitarily invariant norm, to the case of Schatten norms and arbitrary contractions, as well as Q norms if at least one of the contractions A or B is normal. Also, by applying norm inequalities for operator monotone and operator convex functions, some refined Cauchy - Schwarz operator inequalities, as well as Minkowski and Landau - Gruss norm inequalities for operators are obtained as well.
URI: http://hdl.handle.net/123456789/4656
Date: 2017

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