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Operators on the Fourier Algebra with Weakly Compact Extensions

Published online by Cambridge University Press:  20 November 2018

Charles F. Dunkl  and
Donald E. Ramirez
Charles F. Dunkl
Affiliation:
University of Virginia, Charlottesville, Virginia
Donald E. Ramirez
Affiliation:
University of Virginia, Charlottesville, Virginia
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We let G denote an infinite compact group, and Ĝ its dual. We use the notation of our book [3, Chapters 7 and 8]. Recall that A(G) denotes the Fourier algebra of G (an algebra of continuous functions on G), and denotes its dual space under the pairing 〈f, ϕ〉 , (f ∊ A (G), ϕ ∊ ). Further, note is identified with the C*-algebra of bounded operators on L2(G) commuting with left translation. The module action of A (G) on is defined by the following: for f ∊ A (G), ϕ ∊ , f · ϕ ∊ by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 450 - 454
Copyright
Copyright © Canadian Mathematical Society 1974

References

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