Dentability and finite-dimensional decompositions

DOI10.4064/sm-67-2-135-148zbMath0434.46017OpenAlexW1002560242MaRDI QIDQ3872994

Jean Bourgain

Publication date: 1980

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218310

zbMATH Keywords

martingaleRadon-Nikodym propertydentabilityfinite-dimensional Schauder decomposition

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (17)

Slicely countably determined Banach spaces ⋮ Differentiability of convex functions and the convex point of continuity property in Banach spaces ⋮ On the structure of non-dentable closed bounded convex sets ⋮ Weak *-Polish Banach spaces ⋮ The convex point of continuity property in Banach spaces not containing \(\ell _{1}\) ⋮ Maps with the Radon-Nikodým property ⋮ The point of continuity property in Banach spaces not containing \(\ell_1\) ⋮ Banach spaces with many boundedly complete basic sequences failing PCP ⋮ Moduli of non-dentability and the Radon-Nikodým property in Banach spaces ⋮ Point of continuity property and Schauder bases ⋮ Ultrafilters over \(N\) and operators on \(L^ 1\) ⋮ The convex point of continuity property in Asplund spaces ⋮ \(G_{\delta}\)-embeddings in Hilbert space. II ⋮ A Counterexample to a Problem on Points of Continuity in Banach Spaces ⋮ A tree characterization of the point of continuity property in general Banach spaces ⋮ An extension of a structure theorem of Bourgain ⋮ Some interesting Banach spaces

This page was built for publication: Dentability and finite-dimensional decompositions