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Summing inclusion maps between symmetric sequence spaces

Andreas Defant·Mieczysław Mastyło·Carsten Michels
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Abstract

We prove a substantial extension of a well-known result due to Bennett and Carl: The inclusion of a 2-concave symmetric Banach sequence space E into l_2 is (E,1)-summing, i.e. for every unconditionally summable sequence (x_n) in E the scalar sequence (||x_n||_2) is contained in E. Various applications are given, e.g. to the theory of eigenvalue distribution of compact operators and approximation theory.

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Andreas Defant, Mieczysław Mastyło, Carsten Michels. 2000-06-05. Summing inclusion maps between symmetric sequence spaces. https://arxiv.org/abs/math/0006034

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