IJPAM: Volume 71, No. 1 (2011)
THAT ARE NOT PSEUDO ALMOST PERIODIC
School of Mathematical Sciences
P.O. Box 28M, Victoria, 3800, AUSTRALIA
Mathematical Seminar der University of Kiel
Ludewig-Meyn-Str., 24098, Kiel, DEUTSCHLAND
Abstract. We construct Eberlein almost periodic functions so that is not ergodic and thus not Eberlein almost periodic and is Eberlein almost periodic, but and are not pseudo almost periodic, the Parseval equation for them fails, where or and is a Hilbert space. This answers several questions posed by Zhang and Liu .
Received: April 11, 2011
AMS Subject Classification: 43A60, 42A16, 42A75, 42A99
Key Words and Phrases: Eberlein almost periodic, pseudo-almost periodic, Parseval equation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395