Martingale proofs of some geometrical results in Banach space theory

DOI10.2140/pjm.1982.100.153zbMath0535.46010OpenAlexW2025613726MaRDI QIDQ791103

Kenneth Kunen, Haskell P. Rosenthal

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2140/pjm.1982.100.153

zbMATH Keywords

strongly exposed pointsconditional expectationdentabilitydyadic martingalesp-quasi-martingaleRadon-Nikodym Property

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Martingales and classical analysis (60G46) Probability theory on linear topological spaces (60B11)

Related Items

Uniform convexity properties of norms on a super-reflexive Banach space, On the structure of non-dentable closed bounded convex sets, Smooth bump functions and geomentry of Banach spaces, A nonlinear map for midpoint locally uniformly rotund renorming, Extremal properties of the unit ball in \(H^ 1\), A Bourgain-like property of Banach spaces with no copies of \(c_0\), On the Strongly Extreme Points of Convex Bodies in Separable Banach Spaces, On multiplicatively closed subsets of normed algebras, Convexity and smoothness of Banach spaces with numerical index one, Banach space characterizations of unitaries: a survey, Uniform dentability, uniform smoothability and approximations to convex sets, On an open problem regarding totally Fenchel unstable functions, An intersection property of balls and relations with M-ideals, Strongly extreme points of Orlicz function spaces equipped with \(\Phi\)-Amemiya norm, On dentability and cones with a large dual, Characterizations of Denting Points, Denting and strongly extreme points in the unit ball of spaces of operators