Extracting long basic sequences from systems of dispersed vectors
From MaRDI portal
Publication:452058
DOI10.1016/j.aim.2012.06.008zbMath1259.46012arXiv1011.0071OpenAlexW1975021824MaRDI QIDQ452058
Publication date: 19 September 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.0071
inverse limitbasic sequenceBaire categorybiorthogonal systemdispersed sequenceminimal sequenceproperty \(C\)transfinite sequenceWCG spaceWLD space
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Inductive and projective limits in functional analysis (46M40) Nonseparable Banach spaces (46B26)
Related Items (3)
On uniformly differentiable mappings from \(\ell_\infty(\Gamma)\) ⋮ Note on Kadets Klee property and Asplund spaces ⋮ A remark on smooth images of Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unconditional basic sequences in spaces of large density
- On a problem of Rolewicz about Banach spaces that admit support sets
- Weak compactness, transfinite Schauder bases and differentiability
- Lindelöf type of generalization of separability in Banach spaces
- Uncountable constructions for B. A., e. c. groups and Banach spaces
- Set theory. An introduction to independence proofs
- A Banach space with few operators
- Indecomposability and unconditionality in duality
- Biorthogonal systems and quotient spaces via Baire category methods
- Banach spaces with projectional skeletons
- Transfinite bases of subspaces in Hausdorff linear topological spaces
- A new dichotomy for Banach spaces
- Unconditional structures of weakly null sequences
- On bases and unconditional convergence of series in Banach spaces
- The Weak Topology of a Banach Space
- Some properties of weakly countably determined Banach spaces
- On a question of H.H. Corson and some related problems
- The Radon-Nikodym Property in Conjugate Banach Spaces
- On the Kunen–Shelah properties in Banach spaces
- Valdivia compacta and equivalent norms
- Methods in the theory of hereditarily indecomposable Banach spaces
- Characterization of the Radon-Nikodym Property in terms of inverse limits
- Hierarchies in Recursive Function Theory
- Biorthogonal systems in Banach spaces
- Functional analysis and infinite-dimensional geometry
This page was built for publication: Extracting long basic sequences from systems of dispersed vectors