Equilateral and separated sets in some Hilbert generated Banach spaces

DOI10.1090/proc/16588arXiv2301.07413MaRDI QIDQ6154324

Publication date: 15 February 2024

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

Full work available at URL: https://arxiv.org/abs/2301.07413

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Consistency and independence results (03E35) Applications of set theory (03E75) Nonseparable Banach spaces (46B26)

Cites Work

Unnamed Item
Unnamed Item
A class of Banach spaces with few non-strictly singular operators
Integration in Hilbert generated Banach spaces
A graph which embeds all small graphs on any large set of vertices
Partitioning pairs of countable ordinals
Hilbert-generated spaces.
Uncountable equilateral sets in Banach spaces of the form $C(K)$
Hilbert generated Banach spaces need not have a norming Markushevich basis
Bases and reflexivity of Banach spaces
Equilateral sets in Banach spaces of the form $C(K)$
Uncountable sets of unit vectors that are separated by more than 1
Equilateral sets in infinite dimensional Banach spaces
A note on weakly Lindelöf determined Banach spaces
A NON-SEPARABLE REFLEXIVE BANACH SPACE ON WHICH THERE ARE FEW OPERATORS
EQUILATERAL SETS IN UNIFORMLY SMOOTH BANACH SPACES
The unit ball of every infinite-dimensional normed linear space contains a (1+ɛ)-separated sequence
Separated sequences in nonreflexive Banach spaces
A non-separable uniformly convex Banach space on which there are few operators
Separated sequences in uniformly convex Banach spaces
A Banach Space on which there are Few Operators
On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts
Ramsey theory over partitions III: Strongly Luzin sets and partition relations
Separated sets and Auerbach systems in Banach spaces
Projections in Weakly Compactly Generated Banach Spaces and Chang's Conjecture
Coreflexive and Somewhat Reflexive Banach Spaces
Subsets of the unit ball the are separated by more than one
Partitioning pairs of countable sets of ordinals
Large Banach spaces with no infinite equilateral sets
Almost disjoint families and the geometry of nonseparable spheres

This page was built for publication: Equilateral and separated sets in some Hilbert generated Banach spaces