Peetre theorem for nonlinear operators
type: Item
instance of: scholarly article
title: Peetre theorem for nonlinear operators
zbMATH Open document ID: 0636.58042
DOI: 10.1007/BF00054575
author: Jan Slovák
published in: Annals of Global Analysis and Geometry
publication date: 1988-01-01T00:00:00Z
review text: A nonlinear version of the well-known Peetre theorem on the locally finite order of support nonincreasing linear operators is a useful tool for investigation of possible orders of natural oprators between natural bundles and also for some other purposes. The author presents the analytical aspects of nonlinear generalizations of the Peetre theorem in a rather general setting, gives a counterexample showing that in general the obtained results are the best possible and discusses some concrete geometrical applications.
reviewed by: Jan Slovák
Mathematics Subject Classification ID: 58J99
zbMATH DE Number: 4036782
zbMATH Keywords: local operators
zbMATH Keywords: multilinear operators
zbMATH Keywords: order of local operators
zbMATH Keywords: Peetre theorem
zbMATH Keywords: natural operators
zbMATH Keywords: natural bundles
MaRDI profile type: Publication
cites work: Local cohomology of the algebra of \(C^\infty\) functions on a connected manifold
cites work: Q3768060
cites work: Natural tensors on Riemannian manifolds
cites work: Transformation Groups and Natural Bundles
cites work: Q3824993
cites work: Locally Determined associated Spaces
cites work: Q5582147
cites work: Natural bundles have finite order
cites work: Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
cites work: Q3831738
full work available at URL: https://doi.org/10.1007/bf00054575
OpenAlex ID: W142983888
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description: scientific article; zbMATH DE number 4036782