Vol. 97, No. 1, 1981

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On embedding semiflows into a radial flow on l2

Roger McCann

Vol. 97 (1981), No. 1, 151–158
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 R+. If π has a globally uniformly asymptotically stable critical point, then π can be embedded into a radial flow on l2. This generalizes known results on embedding flows or semiflows into radial flows on l2.

Mathematical Subject Classification 2000
Primary: 54H20
Milestones
Received: 12 June 1980
Revised: 2 September 1980
Published: 1 November 1981
Authors
Roger McCann