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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5284

Title: Gateaux derivative and orthogonality in Cp-classes
Authors: Mecheri, Saleh
Keywords: Elementary operators
Schatten p-classes
Gateaux derivative
Issue Date: 2006
Publisher: Victoria Univeristy
Citation: Journal of Inequalities in Pure and Applied Mathematics: 7 (2)
Abstract: The general problem in this paper is minimizing the Cp− norm of suitable affine mappings from B(H) to Cp, using convex and differential analysis (Gateaux derivative) as well as input from operator theory. The mappings considered generalize the so-called elementary operators and in particular the generalized derivations, which are of great interest by themselves. The main results obtained characterize global minima in terms of (Banach space) orthogonality, and constitute an interesting combination of infinite-dimensional differential analysis, operator theory and duality. Note that the results obtained generalize all results in the literature concerning operator which are orthogonal to the range of a derivation and the techniques used have not been done by other authors.
URI: http://hdl.handle.net/123456789/5284
ISSN: 1443-5756
Appears in Collections:College of Science

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