Weakly extremal properties of Banach spaces

DOI10.1007/BF01158239zbMath0699.46010OpenAlexW2031827449MaRDI QIDQ913195

Vladimir P. Fonf

Publication date: 1989

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158239

zbMATH Keywords

Sidon setsuniform boundedness principleextremal pointexistence of the Gelfand integralunion of an increasing sequence of non-norming sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (14)

A strong uniform boundedness principle in Banach spaces ⋮ On CL-spaces and almost CL-spaces ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ On convergence on the boundary of the unit ball in dual space ⋮ Boundaries and polyhedral Banach spaces ⋮ Summability in L1 of a vector measure ⋮ An extension of James's compactness theorem ⋮ Polyhedrality in pieces ⋮ On a problem of H.\,P.\ Rosenthal concerning operators on \(C\)[0,1] ⋮ Polyhedral norms on non-separable Banach spaces ⋮ On \(p\)-Dunford integrable functions with values in Banach spaces ⋮ Norming sets and integration with respect to vector measures ⋮ Open problems in Banach spaces and measure theory ⋮ On weak integrability and boundedness in Banach spaces

Cites Work

• Massiveness of the set of extreme points of the unit ball in some dual banach spaces
• Extremely weakly unconditionally convergent series
• The torsion product of modules over Banach algebras
• Strict Convexity and Smoothness of Normed Spaces
• On Integration in Vector Spaces
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