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The Multiplier Algebras Mp(Γ), and the Theorem of Zafran

  • Colin C. Graham
  • O. Carruth McGehee
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 238)

Abstract

For 1 ≤ p < ∞, consider the Banach space of functions on the integer group Z,
$${L^{P}}{\left( T \right)^{ \wedge }} = \left\{ {\hat{f}:f \in {L^{P}}\left( T \right)} \right\},$$
with norm
$$ \parallel \hat{f}{\parallel _{{{L^{P}}{{\left( T\right)}^{ \wedge }}}}} = \parallel f{\parallel _{{{L^{P}}\left( T \right).}}} $$

Keywords

Banach Space Banach Algebra Trigonometric Polynomial Compact Abelian Group Approximate Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Colin C. Graham
    • 1
  • O. Carruth McGehee
    • 2
  1. 1.Department of MathematicsNorthwestern UniversityEvanstonUSA
  2. 2.Department of MathematicsLouisiana State UniversityBaton RougeUSA

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