Some more characterizations of Banach spaces containing l1

DOI10.1017/S0305004100052890zbMath0335.46011MaRDI QIDQ4102307

Richard Haydon

Publication date: 1976

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Duality and reflexivity in normed linear and Banach spaces (46B10) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (41)

On Saab's characterizations of weak Radon-Nikodym sets ⋮ Boundaries of a convex set and interpolation sets ⋮ On resultant-preserving functionals ⋮ Some stability properties of Arens regular bilinear operators ⋮ A characterization of the weak topology in the unit ball of purely atomic \(L_1\) preduals ⋮ A geometric characterization of the weak-Radon Nikodym property in dual Banach spaces ⋮ Examples concerning heredity problems of WCG Banach spaces ⋮ Tameness and Rosenthal type locally convex spaces ⋮ Uniform distribution of sequences and its interplay with functional analysis ⋮ Average locally uniform rotundity and a class of nonlinear maps ⋮ Duality for spaces of polynomials on tree spaces ⋮ Topological spaces with dense subspaces that are homeomorphic to complete metric spaces and the classification of C(K) Banach spaces ⋮ On James boundaries in dual Banach spaces ⋮ On the boundary barycentric calculus ⋮ Function spaces not containing \(\ell_1\) ⋮ Unnamed Item ⋮ Extreme points in duals of operator spaces ⋮ Duality in spaces of nuclear and integral polynomials ⋮ Fréchet Spaces of Holomorphic Functions without Copies of l ¹ ⋮ The topology of certain spaces of measures ⋮ Some geometrical aspects of efficient points in vector optimization ⋮ Three Convex Sets ⋮ Geometric theory of spaces of integral polynomials and symmetric tensor products ⋮ Isometries between spaces of homogeneous polynomials ⋮ A note on the \(\gamma\) topology in dual Banach spaces ⋮ Parties admissibles d'un espace de Banach. Applications ⋮ Banach Representations and Affine Compactifications of Dynamical Systems ⋮ Extension of vector-valued integral polynomials ⋮ Compactness, Optimality, and Risk ⋮ A class of Banach spaces with few non-strictly singular operators ⋮ Boundaries of Asplund spaces ⋮ Some recent discoveries in the isomorphic theory of Banach spaces ⋮ A class of summing operators acting in spaces of operators ⋮ Convex \(w^*\)-closures versus convex norm-closures in dual Banach spaces ⋮ Boundaries, Martin's Axiom, and (P)-properties in dual Banach spaces ⋮ Moduli of non-dentability and the Radon-Nikodým property in Banach spaces ⋮ Relatively weakly open convex combinations of slices and scattered \(\mathrm{C}^*\)-algebras ⋮ Almost everywhere convergent sequences of weak∗‐to‐norm continuous operators ⋮ Banach spaces with k- and m-admissible sets ⋮ Functions of the first Baire class with values in metric spaces and some applications of them ⋮ Duality in spaces of polynomials of degree at most \(n\)

Cites Work

• Unnamed Item
• Unnamed Item
• A Characterization of Banach Spaces Containing l ¹
• The Radon-Nikodym Property in Conjugate Banach Spaces

This page was built for publication: Some more characterizations of Banach spaces containing l₁