Homorphisms on function algebras
| dc.contributor.author | Garrido, M. Isabel | |
| dc.contributor.author | Gómez Gil, Javier | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T16:53:10Z | |
| dc.date.available | 2023-06-20T16:53:10Z | |
| dc.date.issued | 1994 | |
| dc.description.abstract | Let A be an algebra of continuous real functions on a topological space X. We study when every nonzero algebra homomorphism phi:A --> R is given by evaluation at some point of X. In the case that A is the algebra of rational functions (or real-analytic functions, or C(m)-functions) on a Banach space, we provide a positive answer for a wide class of spaces, including separable spaces and super-reflexive spaces (with nonmeasurable cardinal). | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15532 | |
| dc.identifier.doi | 10.4153/CJM-1994-041-3 | |
| dc.identifier.issn | 0008-414X | |
| dc.identifier.officialurl | http://cms.math.ca/cjm/v46/ | |
| dc.identifier.relatedurl | http://cms.math.ca/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57330 | |
| dc.issue.number | 4 | |
| dc.journal.title | Canadian Journal of Mathematics-Journal Canadien de Mathématiques | |
| dc.language.iso | eng | |
| dc.page.final | 745 | |
| dc.page.initial | 734 | |
| dc.publisher | Canadian Mathematical Society | |
| dc.relation.projectID | PB 90-0044 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Algebra of continuous real functions | |
| dc.subject.keyword | separable spaces | |
| dc.subject.keyword | super-reflexive spaces | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Homorphisms on function algebras | |
| dc.type | journal article | |
| dc.volume.number | 46 | |
| dcterms.references | F. W. Anderson, Approximation in systems of real-valued continuous functions, Trans. Amer. Math. Soc.103(1962), 249-271. J. Arias-de-Reyna, A real-valuedhomomorphism on algebras of differentiablefunctions, Proc. Amer. Math.Soc 104(1988), 1054-1058. R. M. Aron, Compact polynomials and compact differentiable mappings between Banach spaces, Sém.P. Lelong 1974/75, L.N.M. 524, Springer Verlag, 1976, 231-222. P. Bistrom, S. Bjon and M. Lindstrom, Remarks on homomorphisms on certain subalgebras of C{X), Math.Japon. 36(1991). Homomorphisms on some function algebras, Monatsh. Math. 111(1991), 93-97. Function algebras on which homomorphisms are point evaluations on sequences, Manuscripta Math. 73(1991), 179-185. P. Bistrôm and M. Lindstrom, Homomorphisms on C°°(E) and C°°-bounding sets, Monatsh. Math. 115 (1993), 257-266. H. H. Corson, The weak topology of a Banach space, Trans. Amer. Math. Soc. 101(1961), 1-15. J. Diestel, Geometry of Banach spaces. Selected topics, L.N.M. 485, Springer Verlag. G. A. Edgar, Measurability in a Banach space, II, Indiana Univ. Math. J. 28(1979), 559-579. R. Engelking, General Topology, Monograf. Math. Warsaw, (1977). M. I. Garrido and F Montalvo, Uniform approximation theorems for real-valued continuous functions,Topology Appl. 45(1992), 145-155. L. Gillman and M. Jerison, Rings of continuous functions, Princeton, New Jersey, 1960. J. Gomez and J. G. Llavona, Multiplicative functional on function algebras, Rev. Mat. Univ. Complutense Madrid 1(1988), 19-22. A. Hirschowitz, Sur le non-plongementdes variétés analytiques banachiques réeles, C. R. Acad. Sci. Paris 269(1969), 844-846. J. A. Jaramillo, Algebras defunciones continuas y diferenciables. Homomorfismos e interpolaciôn, Thesis.Univ. Complutense, Madrid, 1987. Multiplicativejunctionals on algebras of differentiable functions, Arch. Math. 58( 1992), 384-387. J. A. Jaramillo and J. G. Llavona, On the spectrum ofCxb{E), Math. Ann. 287(1990), 531-538. T. Jech, Set Theory, Academic Press, 1978. K. John, H. Torunczyk and V. Zizler, Uniformly smooth partitions of unity on super reflexive Banach spaces,Studia Math. 70(1981), 129-137. A. Kriegl, P. Michor and W. Schachermayer, Characters on algebras of smooth functions, Ann. Global Anal. Geom. 7(1989), 85-92. E.A. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11(1952). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 88621a6e-cb08-45cc-a43e-43a388119938 | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 88621a6e-cb08-45cc-a43e-43a388119938 |
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