Uniform spaces spanier quasitopologies, and a duality for locally convex algebras
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 exten...
| Publicado: |
1980
|
|---|---|
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14467887_v29_n1_p99_Dubuc http://hdl.handle.net/20.500.12110/paper_14467887_v29_n1_p99_Dubuc |
| Aporte de: |
| id |
paper:paper_14467887_v29_n1_p99_Dubuc |
|---|---|
| record_format |
dspace |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| title |
Uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| spellingShingle |
Uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| title_short |
Uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| title_full |
Uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| title_fullStr |
Uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| title_full_unstemmed |
Uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| title_sort |
uniform spaces spanier quasitopologies, and a duality for locally convex algebras |
| publishDate |
1980 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14467887_v29_n1_p99_Dubuc http://hdl.handle.net/20.500.12110/paper_14467887_v29_n1_p99_Dubuc |
| bdutipo_str |
Repositorios |
| _version_ |
1764820567677992961 |