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On the eigenvalues of orderbounded integral operators

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Abstract

Operators in Banach function spaces which together with their adjoints are orderbounded, have 4th power summable eigenvalues. In general this is best possible. The optimal summability exponent of the eigenvalues of such maps in general is between 2 and 4 and depends on the p-convexity and q-concavity index of the function lattice.

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Authors and Affiliations

  1. Mathematisches Seminar, Universität Kiel, 2300, Kiel, W-Germany

    H. König

  2. Fachbereich Mathematik, Universität Kaiserslautern, 6750, Kaiserslautern, W-Germany

    L. Weis

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  1. H. König
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  2. L. Weis
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König, H., Weis, L. On the eigenvalues of orderbounded integral operators. Integr equ oper theory 6, 706–729 (1983). https://doi.org/10.1007/BF01691921

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