On the uniform convexity of \(L^ p\) spaces, \(1

zbMath0562.46014MaRDI QIDQ1056869

J. Blot

Publication date: 1984

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of convexity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items (8)

Stability result for the extremal Gr\"unbaum distance between convex bodies ⋮ Strongly unique best approximation in Banach spaces. II ⋮ Strong coapproximation in Banach spaces ⋮ Functions related to convexity and smoothness of normed spaces ⋮ Asymptotic Chebyshev centers ⋮ Error estimates for approximation of coupled best proximity points for cyclic contractive maps ⋮ Uniformly smooth renorming of Banach spaces with modulus of convexity of power type 2 ⋮ Simple Proofs of the Uniform Convexity ofL^pand the Riesz Representation Theorem forL^p

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