Localization for uniform algebras generated by real-analytic functions
Authors:
John T. Anderson and Alexander J. Izzo
Journal:
Proc. Amer. Math. Soc. 145 (2017), 4919-4930
MSC (2010):
Primary 46J10, 46J15; Secondary 32A38, 32A65
DOI:
https://doi.org/10.1090/proc/13640
Published electronically:
June 22, 2017
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that if is a uniform algebra generated by real-analytic functions on a suitable compact subset
of a real-analytic variety such that the maximal ideal space of
is
and every continuous function on
is locally a uniform limit of functions in
, then
. This gives an affirmative answer to a special case of a question from the Proceedings of the Symposium on Function Algebras held at Tulane University in 1965.
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Additional Information
John T. Anderson
Affiliation:
Department of Mathematics and Computer Science, College of the Holy Cross, Worcester, Massachusetts 01610
Email:
janderso@holycross.edu
Alexander J. Izzo
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
Email:
aizzo@bgsu.edu
DOI:
https://doi.org/10.1090/proc/13640
Received by editor(s):
May 30, 2016
Received by editor(s) in revised form:
December 24, 2016
Published electronically:
June 22, 2017
Communicated by:
Franc Forstneric
Article copyright:
© Copyright 2017
American Mathematical Society