Differentiation of certain multi-valued mappings on Lie groups
type: Item
instance of: scholarly article
title: Differentiation of certain multi-valued mappings on Lie groups
zbMATH Open document ID: 0727.58004
DOI: 10.1007/BF01262611
author: N. A. Pecherskaya
author: A. G. Chernyakov
published in: Mathematical Notes
publication date: 1990-01-01T00:00:00Z
review text: The authors attempt to compare two approaches to the study of multi- valued mappings with convex images with main goal to understand a kind of ``a natural'' definition of the differentiability of such mappings. The first approach is in the spirit of approximation theory for multi-valued mappings (mathematical analysis) and the second approach is connected with the notion of a smooth field of convex bodies (geometry).
Mathematics Subject Classification ID: 58C06
zbMATH DE Number: 4201184
zbMATH Keywords: Lie groups
zbMATH Keywords: convex bodies
zbMATH Keywords: Abelian monoid
zbMATH Keywords: Banach space
zbMATH Keywords: semi-linear spaces
zbMATH Keywords: left-invariant vector field
zbMATH Keywords: multi-valued mappings
reviewed by: Michael Th. Rassias
Wikidata QID: Q115393761
MaRDI profile type: Publication
cites work: A differential calculus for multifunctions
cites work: Quasidifferentiable mappings and the differentiability of maximum functions
cites work: Approximation to a set-valued mapping. I: A proposal
cites work: Q3964328
cites work: Q3672604
cites work: Construction of unitary irreducible representations of Lie groups
cites work: Discrete series for semisimple Lie groups. II: Explicit determination of the characters
cites work: Q3661825
description: scientific article; zbMATH DE number 4201184