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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Primary summand functions on three-dimensional compact solvmanifolds
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by Carolyn Pfeffer PDF
Proc. Amer. Math. Soc. 116 (1992), 213-217 Request permission

Abstract:

Leonard Richardson has shown that for a certain class of three-dimensional compact solvmanifolds, projections onto $\pi$-primary summands of ${L^2}\left ( M \right )$ do not preserve the continuity of functions on $M$. It is shown here that if the $\pi$-primary projection of a continuous function is ${L^\infty }$ then it is actually continuous. From this it follows that there are continuous functions on $M$ whose $\pi$-primary projections are essentially unbounded.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 213-217
  • MSC: Primary 22E25; Secondary 22E40
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1112499-1
  • MathSciNet review: 1112499