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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$H^ p$ joint approximation
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by F. Pérez-González PDF
Proc. Amer. Math. Soc. 102 (1988), 577-580 Request permission

Abstract:

We show that Mergelyan sets and Farrell sets for ${H^p}\left ( {\mathbf {D}} \right )\left ( {1 \leq p < \infty } \right )$ are just the same if either the weak topology or the norm topology is considered. This answers a question posed by Rubel and Stray in [3].
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 577-580
  • MSC: Primary 30E10; Secondary 30D55, 46E15, 46J15
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0928983-6
  • MathSciNet review: 928983