Uniform convexity of paranormed generalizations of $L^p$ spaces

zbMath1332.46020arXiv1305.6069MaRDI QIDQ5251704

Janusz Matkowski, Justyna Jarczyk

Publication date: 20 May 2015

Full work available at URL: https://arxiv.org/abs/1305.6069

zbMATH Keywords

convex functionparanormed spacemodulus of convexitygeometrically convex functionsuperquadratic functionuniformly convex paranormed space\(L^p\)-like paranorm

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) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Geometry and structure of normed linear spaces (46B20)

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