Displaying similar documents to “On vector-valued inequalities for Sidon sets and sets of interpolation”

p-Envelopes of non-locally convex F-spaces

C. M. Eoff (1992)

Annales Polonici Mathematici

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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.

Opial's property and James' quasi-reflexive spaces

Tadeusz Kuczumow, Simeon Reich (1994)

Commentationes Mathematicae Universitatis Carolinae

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Two of James’ three quasi-reflexive spaces, as well as the James Tree, have the uniform w * -Opial property.