Differentiation in abstract spaces
type: Item
instance of: scholarly article
title: Differentiation in abstract spaces
zbMATH Open document ID: 0599.46067
DOI: 10.1016/0022-0396(84)90073-1
published in: Journal of Differential Equations
publication date: 1984-01-01T00:00:00Z
review text: A new definition of differentiation for mappings between topological vector spaces is introduced. It does not require the mapping to be defined on a linear manifold, nor does it require it to be continuous. All of the main theorems of differential calculus hold and all other known definitions of differentiation are included. The new definition can be used for singular mappings and those defined on arbitrary sets. Applications are given.
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 58C20
zbMATH DE Number: 3967117
zbMATH Keywords: differentiation for mappings between topological vector spaces
zbMATH Keywords: singular mappings
author: Martin Schechter
MaRDI profile type: Publication
full work available at URL: 0022-0396(84)90073-1
OpenAlex ID: W2051107897
cites work: The various definitions of the derivative in linear topological spaces
cites work: On the solvability of semilinear gradient operator equations
cites work: A theorem on the existence of dyon solutions
cites work: The theory of differentiation in linear topological spaces
description: scientific article; zbMATH DE number 3967117