✦ LIBER ✦

On Predicting the Future

✍ Scribed by Jacek Tabor

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 98 KB
Volume: 164
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1999.3748

No coin nor oath required. For personal study only.

✦ Synopsis

Let a discrete dynamical system generated by a linear invertible operator A in a Banach space X be given. Suppose that we have a point x # X with its ``past'' trajectory, that is, we know A k x for k negative. Under the assumption that 0 and belong to the same component of the resolvent set of A we show that the negative trajectory of x determines, in some sense, the positive trajectory.

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