Eberlein almost periodic functions that are not pseudo almost periodic

Details Eberlein almost periodic functions that are not pseudo almost periodic Eberlein almost periodic functions that are not pseudo almost periodic

2011-04-11

arxiv.org/abs/1104.1827v1

Monash University Analysis Paper 127, March 2011

Mathematics

Functional Analysis

6 pages

Scientific paper

We construct Eberlein almost periodic functions $ f_j : J \to H$ so that $||f_1(\cdot)||$ is not ergodic and thus not Eberlein almost periodic and $||f_2(.)||$ is Eberlein almost periodic, but $f_1$ and $f_2$ are not pseudo almost periodic, the Parseval equation for them fails, where $J=\r_+$ or $\r$ and $H$ is a Hilbert space. This answers several questions posed by Zhang and Liu [18].

Affiliated with

Also associated with

No associations

Rating

Eberlein almost periodic functions that are not pseudo almost periodic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Eberlein almost periodic functions that are not pseudo almost periodic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eberlein almost periodic functions that are not pseudo almost periodic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-58001