Smooth extensions of functions on separable Banach spaces

Azagra Rueda, Daniel; Fry, Robb; Keener, L.

Smooth extensions of functions on separable Banach spaces

dc.contributor.author	Azagra Rueda, Daniel
dc.contributor.author	Fry, Robb
dc.contributor.author	Keener, L.
dc.date.accessioned	2023-06-20T00:08:54Z
dc.date.available	2023-06-20T00:08:54Z
dc.date.issued	2010
dc.description.abstract	Let X be a Banach space with a separable dual X*. Let Y subset of X be a closed subspace, and f : Y -> R a C(1)-smooth function. Then we show there is a C(1) extension of f to X.
dc.description.department	Depto. de Análisis Matemático y Matemática Aplicada
dc.description.faculty	Fac. de Ciencias Matemáticas
dc.description.refereed	TRUE
dc.description.sponsorship	NSERC (Canada)
dc.description.status	pub
dc.eprint.id	https://eprints.ucm.es/id/eprint/14743
dc.identifier.doi	10.1007/s00208-009-0441-6
dc.identifier.issn	0025-5831
dc.identifier.officialurl	http://www.springerlink.com/content/q165n777106362l7/fulltext.pdf
dc.identifier.uri	https://hdl.handle.net/20.500.14352/42082
dc.issue.number	2
dc.journal.title	Mathematische Annalen
dc.language.iso	eng
dc.page.final	297
dc.page.initial	285
dc.publisher	Springer
dc.rights.accessRights	restricted access
dc.subject.cdu	517.98
dc.subject.keyword	Differentiable functions
dc.subject.keyword	closed-sets
dc.subject.keyword	c-m
dc.subject.keyword	approximation
dc.subject.keyword	subspaces
dc.subject.keyword	theorem
dc.subject.ucm	Análisis funcional y teoría de operadores
dc.title	Smooth extensions of functions on separable Banach spaces
dc.type	journal article
dc.volume.number	347
dspace.entity.type	Publication
relation.isAuthorOfPublication	6696556b-dc2e-4272-8f5f-fa6a7a2f5344
relation.isAuthorOfPublication.latestForDiscovery	6696556b-dc2e-4272-8f5f-fa6a7a2f5344

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