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Extremum characterizations of sums of eigenvalues of certain symmetrizable operators on Hilbert spaces - MaRDI portal

Extremum characterizations of sums of eigenvalues of certain symmetrizable operators on Hilbert spaces (Q1192137)

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scientific article; zbMATH DE number 60586
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Extremum characterizations of sums of eigenvalues of certain symmetrizable operators on Hilbert spaces
scientific article; zbMATH DE number 60586

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    Extremum characterizations of sums of eigenvalues of certain symmetrizable operators on Hilbert spaces (English)
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    27 September 1992
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    Generalizing results of \textit{H. Wielandt} [Proc. Am. Math. Soc. 6, 106- 110 (1955; Zbl 0064.247)] and \textit{K. Fan} [J. Math. Anal. Appl. 42, 431- 437 (1973; Zbl 0256.47026)], the author establishes max-inf and min-sup characterizations of finite sums of eigenvalues of certain operators on Hilbert spaces that are symmetrizable (on the left) relative to a given positive operator.
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    max-inf and min-sup characterizations of finite sums of eigenvalues
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    operators on Hilbert spaces
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    positive operator
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