2026-06-08T04:02:46Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/585472025-12-09T11:26:50Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Garrido Carballo, María Isabel
author
Gómez Gil, Javier
author
Jaramillo Aguado, Jesús Ángel
2023-06-20T18:45:56Z
2023-06-20T18:45:56Z
1992
0213-8743
https://hdl.handle.net/20.500.14352/58547
http://dmle.cindoc.csic.es/pdf/EXTRACTAMATHEMATICAE_1992_07_01_12.pdf
http://www.eweb.unex.es/eweb/extracta/
For an algebra A of continuous real-valued functions on a topological space X, the question of whether every algebra homomorphism is a point evaluation for a point in X is considered. A variety of results are provided, such as the following. Let X be completely regular and A⊂C(X) a subalgebra with unit which is closed under bounded inversion and separates points and closed sets. Then every homomorphism is a point evaluation for a point in X if and only if, for each point z in the Stone-Čech compactification of X and not in X, there exists a function in A whose extension to z is infinite. Examples are considered and further results for the case of functions on a Banach space are discussed
eng
Homomorphisms on some function algebras
journal article
URL
https://docta.ucm.es/bitstreams/8e23b3fc-221c-451e-ac5b-64f030246ecf/download
File
MD5
c924d29e0dd2270bb3e606c2a4474e0f
581523
application/pdf
garrido-gomez-jaramillo.pdf
URL
https://docta.ucm.es/bitstreams/3fd88899-7f42-4848-8d68-53a4dc994a8f/download
File
MD5
06b7e51e8fc077b8c75076712e4dd2b3
14
text/plain
garrido-gomez-jaramillo.pdf.txt