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Composition operators between algebras of uniformly continuous functions

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dc.contributor.authorLlavona, José G.
dc.contributor.authorLacruz, Miguel
dc.date.accessioned2023-06-20T16:57:07Z
dc.date.available2023-06-20T16:57:07Z
dc.date.issued1997
dc.description.abstractA characterization of uniform continuity for maps between unit balls of real Banach spaces is given in terms of universal properties. Also, it is shown that the classes of compact and weakly compact composition operators induced by such maps agree.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDirección General de Investigación, Ciencia y Tecnología
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16224
dc.identifier.doi10.1007/s000130050092
dc.identifier.issn0003-889X
dc.identifier.officialurlhttp://www.springerlink.com/content/9e7al6xy6qg28l0x/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57499
dc.issue.number1
dc.journal.titleArchiv der Mathematik
dc.language.isoeng
dc.page.final56
dc.page.initial52
dc.publisherBirkhäuser Verlag
dc.relation.projectIDPB93-0452
dc.rights.accessRightsrestricted access
dc.subject.cdu517.5
dc.subject.keywordUniform continuity
dc.subject.keywordMaps between unit balls of real Banach spaces
dc.subject.keywordUniversal properties
dc.subject.keywordCompact and weakly compact composition operators
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleComposition operators between algebras of uniformly continuous functions
dc.typejournal article
dc.volume.number69
dcterms.referencesR. M. ARON, J. GÓMEZ and J. G. LLAVONA, Homomorphisms between algebras of differentiable functions in infinite dimensions. Michigan Math. J. 35, 163 – 178 (1988). M. EIDELHEIT, Concerning rings of continuous functions. Ann. of Math. (2) 41, 391 – 393 (1940). M. GONZÁLEZ and J.M. GUTIÉRREZ, Compact and weakly compact homomorphisms between algebras of differentiable functions. Proc. Amer. Math. Soc. 115, 1025 – 1029 (1992). M. GONZÁLEZ and J. M. GUTIÉRREZ, Schauder type theorems for differentiable and holomorphic functions. Monatsh. Math., to appear. M. GONZÁLEZ and J. M. GUTIÉRREZ, Gantmacher type theorems for holomorphic mappings. Math. Nachr., to appear. J. JARAMILLO and J. G. LLAVONA, On the spectrum of C1b. E..Math. Ann.287, 531-538 (1990). H. KAMOWITZ, Compact endomorphisms of Banach algebras. Pacific J. Math. 89, 313 – 325 (1980). M. LINDSTRÖM and J. G. LLAVONA, Compact and weakly compact homomorphisms between algebras of continuous functions. J. Math. Anal. Appl. 166, 325 – 330 (1992). R. K. SINGH and W. H. SUMMERS, Compact and weakly compact composition operators on spaces of vector valued continuous functions. Proc. Amer. Math. Soc. 99, 667 – 670 (1987).
dspace.entity.typePublication

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