Linear selections for set-valued functions and extension of bilinear forms

DOI10.1007/BF01196433zbMath0797.46005OpenAlexW2018119054MaRDI QIDQ1327127

Zsolt Páles

Publication date: 10 October 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196433

zbMATH Keywords

Hahn-Banach theoremextendability of bilinear functions defined on subspaces of a product spaceextension of additive selectionsextension of linear subselections of weakly compact convex set-valued mappingspointwise suprema of bilinear forms

Mathematics Subject Classification ID

Set-valued operators (47H04) Selections in general topology (54C65) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Extension of maps (54C20)

Related Items (7)

Inverse and implicit function theorems for nonsmooth maps in Banach spaces ⋮ A note on Robinson-Ursescu and Lyusternik-Graves theorem ⋮ Separation via quadratic functions ⋮ On linear selections of convex set-valued maps ⋮ On primal regularity estimates for single-valued mappings ⋮ A concept of inner prederivative for set-valued mappings and its applications ⋮ A nonsmooth Robinson's inverse function theorem in Banach spaces

Cites Work

• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings

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