A separable somewhat reflexive Banach space with nonseparable dual
From MaRDI portal
Publication:4774563
DOI10.1090/S0002-9904-1974-13580-9zbMath0286.46018OpenAlexW2108578167MaRDI QIDQ4774563
Publication date: 1974
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9904-1974-13580-9
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10)
Related Items (62)
Compact subsets of the first Baire class ⋮ Banach spaces which are uniformly non-square over blocks and related properties ⋮ ONλ-STRICT IDEALS IN BANACH SPACES ⋮ Renormings of the dual of James tree spaces ⋮ On the weak-approximate fixed point property ⋮ On Separable Banach Spaces, Universal for all Separable Reflexive Spaces ⋮ Subspaces of Asplund Banach spaces with the point continuity property ⋮ A nonseparable Banach space not containing a subsymmetric basic sequence ⋮ On certain biorthogonal systems related to flatness ⋮ Amalgamations of classes of Banach spaces with a monotone basis ⋮ Operators from a subspace of the James space into its dual ⋮ Some problems in the Banach space theory ⋮ Weak *-Polish Banach spaces ⋮ James space on general trees ⋮ A set-theoretic characterization of a certain class of \(l_ 2\)-saturated James type spaces ⋮ Examples concerning heredity problems of WCG Banach spaces ⋮ Weakly compact approximation in Banach spaces ⋮ Absolutely summing operators on \(C[0,1\) as a tree space and the bounded approximation property] ⋮ Non-Asplund Banach spaces and operators ⋮ Unnamed Item ⋮ TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY ⋮ The fixed point property and the Opial condition on tree-like Banach spaces ⋮ Some fixed point results for \((c)\)-mappings in Banach spaces ⋮ Unimodular eigenvalues and weak mixing ⋮ Separable determination of Fréchet differentiability of convex functions ⋮ Operators whose dual has non-separable range ⋮ An averaging result for \(l^ 1-\)sequences and applications to weakly conditionally compact sets in \(L^ 1\). ⋮ New criteria for the weak Radon-Nikodým property related to set-valued operators ⋮ Duality for spaces of polynomials on tree spaces ⋮ Topological spaces with dense subspaces that are homeomorphic to complete metric spaces and the classification of C(K) Banach spaces ⋮ Weakly null sequences in James spaces on trees ⋮ Function spaces not containing \(\ell_1\) ⋮ Quantitative factorization of weakly compact, Rosenthal, and $\xi$-Banach-Saks operators ⋮ Joint spreading models and uniform approximation of bounded operators ⋮ The topology of certain spaces of measures ⋮ On the \(\ell^1\) non-embedding in the James tree space ⋮ The scalar-plus-compact property in spaces without reflexive subspaces ⋮ On the subspaces of JF and JT with non-separable dual ⋮ The dual Radon-Nikodym property for finitely generated Banach \(C(K)\)-modules ⋮ Hausdorff measures and functions of bounded quadratic variation ⋮ On \(\ell_\infty \)-Grothendieck subspaces ⋮ Hereditarily indecomposable Banach algebras of diagonal operators ⋮ Unconditional families in Banach spaces ⋮ ON STRICTLY SINGULAR OPERATORS BETWEEN SEPARABLE BANACH SPACES ⋮ Banach spaces and Ramsey theory: some open problems ⋮ On the hereditary proximity to \(\ell _{1}\) ⋮ A double-dual characterization of separable Banach spaces containing \(\ell^1\) ⋮ Embedding $\ell _1$ as Lipschitz functions ⋮ On tree characterizations of \(G_{\delta}\)-embeddings and some Banach spaces ⋮ Some recent discoveries in the isomorphic theory of Banach spaces ⋮ On the Coarse Geometry of James Spaces ⋮ Moduli of non-dentability and the Radon-Nikodým property in Banach spaces ⋮ On classes of Banach spaces admitting ‘‘small” universal spaces ⋮ Representations of dynamical systems on Banach spaces not containing $l_{1}$ ⋮ On Nonexpansive Mappings ⋮ Diameter two properties in James spaces ⋮ A special class of Banach spaces ⋮ Two problems of Valdivia on distinguished Fréchet spaces ⋮ Big slices versus big relatively weakly open subsets in Banach spaces ⋮ Some interesting Banach spaces ⋮ Dentability indices and locally uniformly convex renormings ⋮ Borel selectors for upper semi-continuous set-valued maps
Cites Work
- Unnamed Item
- Uniformly non-square Banach spaces
- Some aspects of the theory of Banach spaces
- Bases and reflexivity of Banach spaces
- A generalization of results of R.C. James concerning absolute basis in Banach spaces
- The Radon-Nikodym Property in Conjugate Banach Spaces. II
- On ω*-basic sequences and their applications to the study of Banach spaces
- Some more Banach spaces which contain l¹
- Boundedly Complete M-Bases and Complemented Subspaces in Banach Spaces
- Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
This page was built for publication: A separable somewhat reflexive Banach space with nonseparable dual