\(G_{\delta}\)-embeddings in Hilbert space. II

DOI10.1016/0022-1236(88)90121-8zbMath0682.46013OpenAlexW1973470913MaRDI QIDQ1824154

Bernard Maurey, Nassif Ghoussoub

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)90121-8

zbMATH Keywords

Radon-Nikodym propertyboundedly complete finite-dimensional decompositionhereditarily separable dualsJames-tree sumtopological conditions on a Banach space which ensure that it contains isometric copies of infinite-dimensional conjugate spaces

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (9)

The convex point of continuity property in Banach spaces not containing \(\ell _{1}\) ⋮ Conjugate operators that preserve the nonconvergence of bounded martingales ⋮ Approximation of Jensen Measures by Image Measures Under Holomorphic Functions and Applications ⋮ 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 ⋮ Point of continuity property and Schauder bases ⋮ The convex point of continuity property in Asplund spaces ⋮ Some results on infinite-dimensional convexity

Cites Work

• Applications of the theory of semi-embeddings to Banach space theory
• \(G_{\delta}\)-embeddings in Hilbert space
• Weak *-Polish Banach spaces
• A class of special L//infinity spaces
• Factoring weakly compact operators
• A double-dual characterization of separable Banach spaces containing \(\ell^1\)
• Topological properties of Banach spaces
• The Asymptotic-Norming and the Radon-Nikodym Properties are Equivalent in Separable Banach Spaces
• 𝐻_{𝛿}-embedding in Hilbert space and optimization on 𝐺_{𝛿}-sets
• For a Banach space isomorphic to its square the Radon-Nikodým property and the Krein-Milman property are equivalent
• Some topological and geometrical structures in Banach spaces
• Dentability and finite-dimensional decompositions
• The Radon-Nikodym Property in Conjugate Banach Spaces. II
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• On ω*-basic sequences and their applications to the study of Banach spaces
• A Renorming of Nonreflexive Banach Spaces
• Geometrical Implications of Certain Infinite Dimensional Decompositions
• A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space
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