A class of spaces
whose point evaluations vary with
Authors:
John Akeroyd and Elias G. Saleeby
Journal:
Proc. Amer. Math. Soc. 127 (1999), 537-542
MSC (1991):
Primary 30E10, 46E15
DOI:
https://doi.org/10.1090/S0002-9939-99-04617-1
MathSciNet review:
1473652
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Abstract | References | Similar Articles | Additional Information
Abstract: Extending an example given by T. Kriete, we develop a class of measures each of which consists of a measure on along with a series of weighted point masses in
. This class provides relatively simple examples of measures
which have the property that the collection of analytic bounded point evaluations for
varies with
. The first known measures with this property were recently constructed by J. Thomson.
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Additional Information
John Akeroyd
Affiliation:
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701
Email:
jakeroyd@comp.uark.edu
Elias G. Saleeby
Affiliation:
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701
Email:
esaleeby@comp.uark.edu
DOI:
https://doi.org/10.1090/S0002-9939-99-04617-1
Received by editor(s):
June 2, 1997
Dedicated:
Dedicated to Richard H. Akeroyd
Communicated by:
Theodore W. Gamelin
Article copyright:
© Copyright 1999
American Mathematical Society