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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Uniqueness of representing measures


Author: Frank Forelli
Journal: Proc. Amer. Math. Soc. 93 (1985), 507-508
MSC: Primary 46J15; Secondary 30H05, 46J20
MathSciNet review: 774013
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Abstract: We improve a little an old theorem of Gleason and Whitney.


References [Enhancements On Off] (What's this?)

  • [1] John B. Garnett, Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 628971
  • [2] Andrew M. Gleason and Hassler Whitney, The extension of linear functionals defined on 𝐻^{∞}, Pacific J. Math. 12 (1962), 163–182. MR 0142013
  • [3] Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. MR 0133008
  • [4] D. J. Newman, Some remarks on the maximal ideal structure of 𝐻^{∞}, Ann. of Math. (2) 70 (1959), 438–445. MR 0106290

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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0774013-6
Article copyright: © Copyright 1985 American Mathematical Society