Extendedly differentiable submanifolds
type: Item
instance of: scholarly article
title: Extendedly differentiable submanifolds
zbMATH Open document ID: 0913.58002
published in: Russian Mathematics
publication date: 1998-10-11T00:00:00Z
review text: The zero set \(N(A)\) of an arbitrary \(\mathcal{C}^r\) operator \(A:X\rightarrow Y\) between Banach spaces is not, in general, a differentiable submanifold of \(X\). The author enlarges the notion of differentiability such that this set always becomes a differentiable submanifold in the extended sense.
reviewed by: Liviu Ornea
Mathematics Subject Classification ID: 58C20
zbMATH DE Number: 1175126
zbMATH Keywords: linear operator
zbMATH Keywords: Banach space
zbMATH Keywords: differentiable submanifold
author: S. Ya. Serovaiskii
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1175126