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Monatshefte für Mathematik

, Volume 105, Issue 2, pp 161–164 | Cite as

Continuity of translation invariant linear functionals onC0(G) for certain locally compact groupsG

  • G. A. Willis
Article

Abstract

LetG be either a non-amenable group or a compact group such that the trivial representation ofG is not weakly contained in the regular representation ofG onL 2 0 (G). Then every translation invariant linear functional onC0(G) or onL p (G), where 1<p≤∞, is continuous.

Keywords

Compact Group Linear Functional Regular Representation Trivial Representation 
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 1988

Authors and Affiliations

  • G. A. Willis
    • 1
    • 2
  1. 1.School of Mathematical SciencesFlinders University of South AustraliaBedford Park
  2. 2.Adelaide

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