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Displaying similar documents to “Uniform c-convexity of L p , 0 < p 1 .”

Generalized midconvexity

Jacek Tabor, Józef Tabor, Krzysztof Misztal (2013)

Banach Center Publications

Similarity:

There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X. We show that we can define and study the basic convexity properties in this setting.

On equivalent strictly G-convex renormings of Banach spaces

Nataliia Boyko (2010)

Open Mathematics

Similarity:

We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.