An example concerning core measures
Author:
S. J. Sidney
Journal:
Proc. Amer. Math. Soc. 26 (1970), 428-430
MSC:
Primary 46.55
DOI:
https://doi.org/10.1090/S0002-9939-1970-0264402-X
MathSciNet review:
0264402
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We shall construct a uniform algebra having a multiplicative linear functional whose space of representing measures is infinite-dimensional but nevertheless has a core measure. This answers in the negative an open question in Gamelin’s book [1, p. 106].
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1969. MR 0410387
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.55
Retrieve articles in all journals with MSC: 46.55
Additional Information
Keywords:
Core measure,
uniform algebra,
multiplicative linear functional,
Poisson kernel
Article copyright:
© Copyright 1970
American Mathematical Society