Displaying similar documents to “An Inequality Related to the Uniform Convexity in Banach Spaces”

On equivalent strictly G-convex renormings of Banach spaces

Nataliia Boyko (2010)

Open Mathematics

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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.