On P - and p -Convexity of Banach Spaces

Omar Muñiz-Pérez

doi:10.1155/2010/102462

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2010 On

P

- and

p

-Convexity of Banach Spaces

Omar Muñiz-Pérez

Abstr. Appl. Anal. 2010: 1-14 (2010). DOI: 10.1155/2010/102462

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Abstract

We show that every U-space and every Banach space X satisfying ${\delta }_{X}(1)>0$ are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity.