Nonexpansive Uniformly Asymptotically Stable Flows are Linear
1981 ◽
Vol 24
(4)
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pp. 401-407
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Keyword(s):
AbstractWe show that if a flow (R, X, π) on a separable metric space (X, d) satisfies (i) the transition mapping π(t, •): X → X is non-expansive for every t ≥ 0; (ii) X contains a globally uniformly asymptotically stable compact invariant subset, then the flow (R, X, π) is linear in the sense that it can be topologically and equivariantly embedded into a flow () on the Hilbert space l2 for which all of the transition mappings are linear operators on l2.
2002 ◽
Vol 45
(1)
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pp. 60-70
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1990 ◽
Vol 48
(2)
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pp. 214-222
1972 ◽
Vol 13
(1)
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pp. 56-60
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1965 ◽
Vol 5
(5)
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pp. 283-284
2010 ◽
Vol 70
(3)
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pp. 363-378
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1976 ◽
Vol 20
(2)
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pp. 99-120
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1995 ◽
Vol 49
(1)
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pp. 143-162
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