𝐻_{𝛿}-embedding in Hilbert space and optimization on 𝐺_{𝛿}-sets

DOI10.1090/memo/0349zbMath0606.46005OpenAlexW1993104178MaRDI QIDQ3744682

Nassif Ghoussoub, Bernard Maurey

Publication date: 1986

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0349

zbMATH Keywords

optimizationKrein-Milman theoremintegral representationsRadon-Nikodym propertygeometry of Banach spaces*-Brondsted- Rockafellar property*-Ekeland propertyBauer theorem on minimum pointscharacterizations of separable Banach spaces possessing the RNPChoquet integral representation theoremextension of the Ekeland variational principle to bi- metric spacesextreme structuresmetrizable convex compact subset of a locally convex spacenon-compact and non-convex extensionsRadon- Nikodym sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Existence theories for problems in abstract spaces (49J27) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

Asplund spaces, Stegall variational principle and the RNP, Weak *-Polish Banach spaces, Convexification of nonconvex functions and application to minimum and maximum principles for nonconvex sets, Norm attaining operators and variational principle, Plurisubharmonic martingales and barriers in complex quasi-Banach spaces, First Borel class sets in Banach spaces and the asymptotic-norming property, A linear perturbed Palais-Smale condition for lower semicontinuous functions on Banach spaces, Moduli of non-dentability and the Radon-Nikodým property in Banach spaces, \(G_{\delta}\)-embeddings in Hilbert space. II