On embedding semiflows into a radial flow on<i>l</i>₂

Abstract

Let π be a semiflow on a separable metric space X such that the negative escape time function is lower semicontinuous and x-^xπt is a one-to-one mapping for each t e R + .If π has a globally uniformly asymptotically stable critical point, then π can be embedded into a radial flow on Z 2 .This generalizes known results on embedding flows or semiflows into radial flows on l 2 .

Locations

• Pacific Journal of Mathematics - View - PDF