Almost summing mappings

Details Almost summing mappings Almost summing mappings

2003-07-23

arxiv.org/abs/math/0307312v1

Mathematics

Functional Analysis

to appear in Arch. Math. (Basel)

Scientific paper

We introduce a general definition of almost $p$-summing mappings and give
several concrete examples of such mappings. Some known results are considerably
generalized and we present various situations in which the space of almost
$p$-summing multilinear mappings coincides with the whole space of continuous
multilinear mappings.

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