Convex spectral functions of compact operators. II: Lower semicontinuity and rearrangement invariance (Q2776675)

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scientific article; zbMATH DE number 1714778
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Convex spectral functions of compact operators. II: Lower semicontinuity and rearrangement invariance
scientific article; zbMATH DE number 1714778

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    27 November 2003
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    spectral functions
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    compact operators
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    Fréchet-differentiability
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    convex spectral functions
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    Convex spectral functions of compact operators. II: Lower semicontinuity and rearrangement invariance (English)
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    This paper deals with the Fréchet-differentiability of convex spectral functions defined on the class of compact operators. The case of Gâteaux-differentiability was treated in an earlier work [\textit{J. M. Borwein, J. Read, A. S. Lewis} and \textit{Q. Zhu} [J. Nonlinear Convex Anal. 1, 17-35 (2000; Zbl 0985.49022)].NEWLINENEWLINEFor the entire collection see [Zbl 0974.00048].
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