Uniform convexity properties of norms on a super-reflexive Banach space

DOI10.1007/BF02772671zbMath0603.46016MaRDI QIDQ1082574

Catherine Finet

Publication date: 1986

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

zbMATH Keywords

uniform approximation propertysuper-reflexive Banach spacequasi-transitive\(\phi \)- strongly exposed pointalmost uniformly smoothmodulus of convexity of power-typemodulus of strong extremalityuniformly convex equivalent norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10)

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Cites Work

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• Martingale proofs of some geometrical results in Banach space theory
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• Geometry of Banach spaces. Selected topics
• Martingales with values in uniformly convex spaces
• Points minimaux et ensembles optimaux dans les espaces de Banach
• The uniform approximation property in Orlicz spaces
• On operators which attain their norm
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• Banach spaces which can be given an equivalent uniformly convex norm
• UNE CLASSE D'ESPACES DE BANACH A PREDUAL UNIQUE
• On Strongly Exposing Functionals
• Ultraproducts in Banach space theory.