Extremely weakly unconditionally convergent series

DOI10.1007/BF02761366zbMath0487.46005MaRDI QIDQ1165430

John H. Elton

Publication date: 1981

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

zbMATH Keywords

extreme pointsLindenstrauss-Phelps space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (12)

On convergence on the boundary of the unit ball in dual space ⋮ Smallness and the covering of a Banach space ⋮ Some stability properties of c₀-saturated spaces ⋮ Weakly extremal properties of Banach spaces ⋮ Summability in L1 of a vector measure ⋮ On a problem of H.\,P.\ Rosenthal concerning operators on \(C\)[0,1] ⋮ A counterexample to a question of R. Haydon, E. Odell and H. Rosenthal ⋮ New examples of \(c_{0}\)-saturated Banach spaces ⋮ Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces ⋮ New examples of \(c_0\)-saturated Banach spaces. II ⋮ Coefficient quantization in Banach spaces ⋮ On weak integrability and boundedness in Banach spaces

Cites Work

• Perturbation theory for nullity, deficiency and other quantities of linear operators
• One property of Lindenstrauss-Phelps spaces
• Some properties of the set of extreme points of the unit ball of a Banach space
• On extreme points in separable conjugate spaces
• Extreme point properties of convex bodies in reflexive Banach spaces
• On bases and unconditional convergence of series in Banach spaces
• Shorter Notes: Weak Convergence of Bounded Sequences

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