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ARENS REGULARITY FOR QUOTIENTS $A_p(E)$ OF THE HERZ ALGEBRA

Published online by Cambridge University Press:  24 March 2003

COLIN C. GRAHAM
COLIN C. GRAHAM
Affiliation:
RR#1-Site H-46, Bowen Island, BC V0N 1G0, Canadaccgraham@alum.mit.edu
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Abstract

If the subset $E$ of ${\bb T}$ supports a synthesizable $p$ -pseudofunction $T$ , then the restriction $A_p(E)$ to $E$ of the Herz algebra on ${\bb T}$ is not Arens regular. The proof is direct, by brute force, and does not show the existence of Day points for $A_p(E)$ .

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 4 , July 2002 , pp. 457 - 468
Copyright
© The London Mathematical Society 2002

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