p-Envelopes of non-locally convex F-spaces

• Autorzy: C. M. Eoff
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

p-envelope; non-locally convex F-space; multiplier

Kategorie tematyczne

• 46A16: Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1992
• Tom: 57
• Numer: 2
• Strony: 121-134

Daty

wydano

1992

otrzymano

1990-10-22

Twórcy

autor

C. M. Eoff

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

Bibliografia

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