Countable interpolation sets and the Gleason metric
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- by D. M. Oberlin PDF
- Proc. Amer. Math. Soc. 42 (1974), 175-180 Request permission
Abstract:
Countable interpolation sets of type 1 are characterized as those countable compact sets which intersect each part at most once. A metric condition is given which characterizes those countable compact sets which are interpolation sets for logmodular function algebras.References
- Edgar Lee Stout, The theory of uniform algebras, Bogden & Quigley, Inc., Publishers, Tarrytown-on-Hudson, N.Y., 1971. MR 0423083
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Gerald M. Leibowitz, Lectures on complex function algebras, Scott, Foresman & Co., Glenview, Ill., 1970. MR 0428042
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 175-180
- MSC: Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-1974-0331070-1
- MathSciNet review: 0331070