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ArticleOriginal scientific text

Title

p-Envelopes of non-locally convex F-spaces

Authors 1

Affiliations

  1. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, U.S.A.

Abstract

The p-envelope of an F-space is the p-convex analogue of the Fréchet envelope. We show that if an F-space is locally bounded (i.e., a quasi-Banach space) with separating dual, then the p-envelope coincides with the Banach envelope only if the space is already locally convex. By contrast, we give examples of F-spaces with are not locally bounded nor locally convex for which the p-envelope and the Fréchet envelope are the same.

Keywords

ENG
p-envelope, non-locally convex F-space, multiplier

Bibliography

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Annales Polonici Mathematici
1992/57/2
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Pages:
121-134
Main language of publication
English
Received
1990-10-22
Published
1992
Exact and natural sciences