Almost summing mappings

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...

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Bibliographic Details
Published in:arXiv.org 2003-07
Main Author: Pellegrino, Daniel M
Format: Article
Language:English
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Summary: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.
ISSN:2331-8422