A note on enveloped measures
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- by S. J. Sidney
- Proc. Amer. Math. Soc. 37 (1973), 167-168
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310644-7
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Abstract:
There exists a uniform algebra $\mathfrak {A}$ and a multiplicative linear functional $\Phi$ on $\mathfrak {A}$ which has an uncountable family of enveloped representing measures, no one of which is boundedly absolutely continuous with respect to any other.References
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1969. MR 410387
- T. Gamelin and G. Lumer, Theory of abstract Hardy spaces and the universal Hardy class, Advances in Math. 2 (1968), 118–174. MR 226392, DOI 10.1016/0001-8708(68)90019-4
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 116199
- S. J. Sidney, An example concerning core measures, Proc. Amer. Math. Soc. 26 (1970), 428–430. MR 264402, DOI 10.1090/S0002-9939-1970-0264402-X
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 167-168
- MSC: Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310644-7
- MathSciNet review: 0310644