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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Multipliers of $L^ p_ E$. I
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by Daniel M. Oberlin PDF
Trans. Amer. Math. Soc. 221 (1976), 187-198 Request permission

Abstract:

Let X be an abelian group, the character group of a compact group G. For a subset E of X let $L_E^p$ be the subspace of E-spectral functions in ${L^p}(G)$. We show that if X is infinite and $1 \leqslant p < 2$, then E can be chosen so that not every multiplier of $\widehat {L_E^p}$ extends to a multiplier of $\widehat {{L^p}}(G)$.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 221 (1976), 187-198
  • MSC: Primary 43A22
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0402417-9
  • MathSciNet review: 0402417