Uniformly smooth renormings of uniformly convex Banach spaces

DOI10.1007/BF02107257zbMath0572.46011OpenAlexW2053327746MaRDI QIDQ1062242

S. A. Rakov

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02107257

zbMATH Keywords

modulus of smoothnessBanach-Mazur distancemodulus of convexitysuperreflexive Banach spacesmeasure of squarenessquantitative aspects of the Enflo-Pisier theorem on the existence of uniformly smooth renormings

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ Uniformly smooth renorming of Banach spaces with modulus of convexity of power type 2

Cites Work

• Projections onto Hilbertian subspaces of Banach spaces
• Martingales with values in uniformly convex spaces
• Uniformly non-square Banach spaces
• Classical Banach spaces
• Banach spaces which can be given an equivalent uniformly convex norm
• On the moduli of convexity and smoothness

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