The validity of the ``\(\liminf\) formula and a characterization of Asplund spaces

DOI10.1016/j.jmaa.2014.03.003zbMath1336.49019OpenAlexW193602678MaRDI QIDQ488770

Abderrahim Jourani, Taron Zakaryan

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.003

zbMATH Keywords

pseudoconvexityFréchet derivativeAsplund spacesClarke tangent coneClarke normal coneGâteaux derivativebornologytrustworthiness

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Derivatives of functions in infinite-dimensional spaces (46G05) Bornologies and related structures; Mackey convergence, etc. (46A17)

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