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dc.contributor.author
Carando, Daniel Germán
dc.contributor.author
Zalduendo, Ignacio Martin
dc.date.available
2024-09-13T15:06:58Z
dc.date.issued
2004-04
dc.identifier.citation
Carando, Daniel Germán; Zalduendo, Ignacio Martin; Linearization of functions; Springer; Mathematische Annalen; 328; 4; 4-2004; 683-700
dc.identifier.issn
0025-5831
dc.identifier.uri
http://hdl.handle.net/11336/244266
dc.description.abstract
Given a space F(U ) of functions f : U −→ C which are continuous, we construct another space F∗(U ) and a map e : U −→ F∗(U )linearizing all functions f ∈ F(U )(i.e. there are Lf ∈ F∗(U ) such that Lf ◦ e = f ). Such linearizations are stronger than mere preduals for F(U ), for example for F(U ) = 1, linearizations correspond to preduals of 1 which are isomorphic to c0. We also address the vector-valued case. A number of such linearizing constructions are to be found in the literarture, mostly for certain spaces of holomorphic functions. The procedure presented here generalizes all these special cases.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FUNCTIONS
dc.subject
MATHEMATICS
dc.subject
LINEARIZING CONSTRUCTIONS
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Linearization of functions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-09-13T11:35:35Z
dc.journal.volume
328
dc.journal.number
4
dc.journal.pagination
683-700
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de San Andrés; Argentina
dc.description.fil
Fil: Zalduendo, Ignacio Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella; Argentina
dc.journal.title
Mathematische Annalen
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00208-003-0502-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-003-0502-1
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