Weak *-Polish Banach spaces

DOI10.1016/0022-1236(88)90039-0zbMath0655.46011OpenAlexW2073141221MaRDI QIDQ1109285

Haskell P. Rosenthal

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90039-0

zbMATH Keywords

point of continuity propertyfinite dimensional decompositionshomeomorphic to a separable complete metric spaceskipped blocking decompositionsw *-Polish

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (12)

Subspaces of Asplund Banach spaces with the point continuity property ⋮ On the structure of non-dentable closed bounded convex sets ⋮ Non-Asplund Banach spaces and operators ⋮ On a certain class of \(\mathcal K_{\sigma\delta}\) Banach spaces ⋮ The equivalence between CPCP and strong regularity under Krein-Milman property ⋮ Boundedly complete weak-Cauchy basic sequences in Banach spaces with the PCP ⋮ The point of continuity property in Banach spaces not containing \(\ell_1\) ⋮ On tree characterizations of \(G_{\delta}\)-embeddings and some Banach spaces ⋮ Boundedly complete basic sequences, \(c_ 0\)-subspaces, and injections of Banach spaces ⋮ SKIPPED BLOCKING AND OTHER DECOMPOSITIONS IN BANACH SPACES ⋮ \(G_{\delta}\)-embeddings in Hilbert space. II ⋮ Some interesting Banach spaces

Cites Work

• \(G_{\delta}\)-embeddings in Hilbert space
• Topological properties of Banach spaces
• 𝐻_{𝛿}-embedding in Hilbert space and optimization on 𝐺_{𝛿}-sets
• A Note on Separable Banach Spaces with Nonseparable Dual
• Dentability and finite-dimensional decompositions
• The Radon-Nikodym Property in Conjugate Banach Spaces
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• A separable somewhat reflexive Banach space with nonseparable dual
• On ω*-basic sequences and their applications to the study of Banach spaces
• Note on a theorem of Murray
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