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We show that every U -space and every Banach space X satisfying   δ  X    (  1  )   &gt;  0  are P (3)-convex, and we study the nonuniform version of P -convexity, which we call p -convexity.

abstract and applied analysis

On<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>P</mml:mi></mml:math>- and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Convexity of Banach Spaces

OnP- andp-Convexity of Banach Spaces