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Abstract:

Gelfand-type duality results can be obtained for locally convex algebras using a quasitopological structure on the spectrum of an algebra (as opposed to the topologies traditionally considered). In this way, the duality between (commutative, with identity) C*-algebras and compact spaces can be extended to pro-C*-algebras and separated quasitopologies. The extension is provided by a functional representation of an algebra A as the algebra of all continuous numerical functions on a quasitopological space. The first half of the paper deals with uniform spaces and quasitopologies, and has independent interest. © 1980, Australian Mathematical Society. All rights reserved.

Registro:

Documento: Artículo
Título:Uniform spaces spanier quasitopologies, and a duality for locally convex algebras
Autor:Dubuc, E.J.
Filiación:University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, Canada
Facultad de Ciencias Exactas, Universidad de Buenos Aires, Buenos Aires, Argentina
Año:1980
Volumen:29
Número:1
Página de inicio:99
Página de fin:128
DOI: http://dx.doi.org/10.1017/S1446788700020978
Título revista:Journal of the Australian Mathematical Society
Título revista abreviado:J. Aust. Math. Soc.
ISSN:14467887
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14467887_v29_n1_p99_Dubuc

Referencias:

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Citas:

---------- APA ----------
(1980) . Uniform spaces spanier quasitopologies, and a duality for locally convex algebras. Journal of the Australian Mathematical Society, 29(1), 99-128.
http://dx.doi.org/10.1017/S1446788700020978
---------- CHICAGO ----------
Dubuc, E.J. "Uniform spaces spanier quasitopologies, and a duality for locally convex algebras" . Journal of the Australian Mathematical Society 29, no. 1 (1980) : 99-128.
http://dx.doi.org/10.1017/S1446788700020978
---------- MLA ----------
Dubuc, E.J. "Uniform spaces spanier quasitopologies, and a duality for locally convex algebras" . Journal of the Australian Mathematical Society, vol. 29, no. 1, 1980, pp. 99-128.
http://dx.doi.org/10.1017/S1446788700020978
---------- VANCOUVER ----------
Dubuc, E.J. Uniform spaces spanier quasitopologies, and a duality for locally convex algebras. J. Aust. Math. Soc. 1980;29(1):99-128.
http://dx.doi.org/10.1017/S1446788700020978