Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness

DOI10.1016/j.jfa.2023.109889OpenAlexW4320718451MaRDI QIDQ2692708

Yanyan Li

Publication date: 22 March 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00338

zbMATH Keywords

super weak compactnessHilbert-generated spacesuniformly Eberlein compact setsuniformly weakly null sets

Mathematics Subject Classification ID

Compactness (54D30) Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators defined by compactness properties (47B07) Ultraproduct techniques in Banach space theory (46B08) Compactness in Banach (or normed) spaces (46B50) Nonseparable Banach spaces (46B26)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Super WCG Banach spaces
• Szlenk indices of convex hulls
• Radon-Nikodým indices and measures of weak noncompactness
• Uniformly convex operators and martingale type
• An extension of the Krein--Smulian theorem
• Measures of weak noncompactness in Banach spaces
• Factoring weakly compact operators
• Martingales with values in uniformly convex spaces
• Continuous images of weakly compact subsets of Banach spaces
• Measures of noncompactness in metric fixed point theory
• Hilbert-generated spaces.
• Super weak compactness and uniform Eberlein compacta
• On super fixed point property and super weak compactness of convex subsets in Banach spaces
• The convex hull of a Banach-Saks set
• Distance to spaces of continuous functions
• Banach spaces which can be given an equivalent uniformly convex norm
• A quantitative version of Krein's theorem
• Banach space theory. The basis for linear and nonlinear analysis
• Nonlinear aspects of super weakly compact sets
• On super-weakly compact sets and uniformly convexifiable sets
• On the Structure of Weakly Compact Subsets of Hilbert Spaces and Applications to the Geometry of Banach Spaces
• Quelques propriétés des opérateurs uniformément convexifiants
• A Note on Regular Methods of Summability and the Banach-Saks Property
• Opérateurs uniformément convexifiants
• Ultraproducts in Banach space theory.
• A CHARACTERIZATION OF SUBSPACES OF WEAKLY COMPACTLY GENERATED BANACH SPACES
• On Cesaro summable sequences of continuous functions
• Convexification of super weakly compact sets and measure of super weak noncompactness
• EQUIVALENCE OF SEMI-NORMS RELATED TO SUPER WEAKLY COMPACT OPERATORS
• Super-Reflexive Banach Spaces
• Biorthogonal systems in Banach spaces
• On uniformly convex functions
• The structure of uniformly Gâteaux smooth Banach spaces

This page was built for publication: Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness