Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces
From MaRDI portal
Publication:2286485
DOI10.1016/j.jfa.2019.108418zbMath1450.46008OpenAlexW2990414216WikidataQ126653178 ScholiaQ126653178MaRDI QIDQ2286485
Tadeusz Kuczumow, Simeon Reich, Mariola Walczyk, Budzyńska, Monika
Publication date: 22 January 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2019.108418
Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)
Related Items
Complete sets in normed linear spaces ⋮ Diametrically complete sets with empty interior and constant width sets with empty interior ⋮ Renormings of nonseparable reflexive Banach spaces and diametrically complete sets with empty interior ⋮ Porosity and diametrical completeness
Cites Work
- Complete sets and completion of sets in Banach spaces
- Diametrically complete sets and normal structure
- Some geometry of convex bodies in \(C(K)\) spaces
- Geometry of Banach spaces. Selected topics
- Some examples concerning rotundity in Banach spaces
- Schauder bases and diametrically complete sets with empty interior
- Thin sets of constant width
- Local uniform convexity and Kadec-Klee type properties in \(K\)-interpolation spaces. I. General theory.
- Sets of constant width in finite dimensional Banach spaces
- Some geometric properties related to the fixed point theory for nonexpansive mappings
- Strict Convexity and Smoothness of Normed Spaces
- A Reflexive LUR Banach Space that Lacks Normal Structure
- Diametrically Maximal and Constant Width Sets in Banach Spaces
- Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Local Uniform Convexity of Day's Norm on c 0 (Γ)
- On ω*-basic sequences and their applications to the study of Banach spaces
- A Renorming of Nonreflexive Banach Spaces
- Mappings into normed linear spaces
- Locally Uniformly Convex Banach Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces