Characters and Point Evaluations
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 237-241
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We give a simple proof that, if X is a Lindelöf topological space, and A is an algebra of continuous real-valued functions on X which is inverse-closed, local and z-regular, then every character on A is a point evaluation. We also give a number of examples to illustrate both the applications of this theorem and its limitations.
Ransford, T. J. Characters and Point Evaluations. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 237-241. doi: 10.4153/CMB-1995-034-6
@article{10_4153_CMB_1995_034_6,
author = {Ransford, T. J.},
title = {Characters and {Point} {Evaluations}},
journal = {Canadian mathematical bulletin},
pages = {237--241},
year = {1995},
volume = {38},
number = {2},
doi = {10.4153/CMB-1995-034-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-034-6/}
}
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