Geodesic
p-Envelopes of non-locally convex F-spaces
Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 121-134.

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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.
DOI : 10.4064/ap-57-2-121-134
Keywords: p-envelope, non-locally convex F-space, multiplier

C. Eoff 1

1 
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C. Eoff. p-Envelopes of non-locally convex F-spaces. Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 121-134. doi : 10.4064/ap-57-2-121-134. http://geodesic.mathdoc.fr/articles/10.4064/ap-57-2-121-134/

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