Calculus on complex Banach spaces
type: Item
instance of: scholarly article
title: Calculus on complex Banach spaces
zbMATH Open document ID: 0547.46028
DOI: 10.1007/BF02082527
author: N. E. Zubov
published in: International Journal of Theoretical Physics
publication date: 1983-01-01T00:00:00Z
review text: The paper contains nothing new. It is well known that real Banach spaces (instead of complex ones) are the appropriate object for the purpose of differentiation and optimization. This is rediscovered by the authors: they study continuous ''additive'' maps between complex spaces which are simply continuous linear maps on the underlying real spaces. (Proposition 4.3 is true without the assumption that T is balanced).
reviewed by: V. Losert
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 3872063
zbMATH Keywords: continuous additive maps between complex spaces
zbMATH Keywords: differentiation
zbMATH Keywords: optimization
MaRDI profile type: Publication
cites work: Q5628553
cites work: Q5566063
cites work: A new differential calculus on a complex Banach space with application to variational problems of quantum theory
description: scientific article; zbMATH DE number 3872063