Andreas Defant, Mieczysław Mastyło, Carsten Michels
Published 2000-06-05Version 1
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.
Compact subsets of $\Ps(\N)$ with applications to the embedding of symmetric sequence spaces into $C(α)$
(E,F)-multipliers and applications
$2$-rotund norms for unconditional and symmetric sequence spaces
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