Dense strong continuity of pointwise continuous mappings

DOI10.2140/pjm.1980.89.111zbMath0458.54011OpenAlexW2042218624MaRDI QIDQ1151623

Kenderov, Petar S.

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.89.111

zbMATH Keywords

Asplund spaceCantor set constructionG-delta subsetGateaux or Frechet differentiability of convex functionsmultivalued upper semicontinuous mappingsingle- valuedness of monotone operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued maps in general topology (54C60) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (12)

On Single-Valuedness of Quasimonotone Set-Valued Operators ⋮ Algebraic objects generated by topological structure ⋮ Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings ⋮ Points of Continuity for Semigroup Actions ⋮ Continuity of semigroup actions ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Quasicontinuity and Namioka's theorem ⋮ Boundedly complete basic sequences, \(c_ 0\)-subspaces, and injections of Banach spaces ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory ⋮ Polygonal approximation of plane convex compacta ⋮ Borel selectors for upper semi-continuous set-valued maps

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