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Hyperbolic operator semigroups and Lyapunov's equation.

Authors :
Baskakov, A. G.
Vorob'ev, A. A.
Romanova, M. Yu.
Source :
Mathematical Notes. Feb2011, Vol. 89 Issue 1/2, p194-205. 12p.
Publication Year :
2011

Abstract

We obtain necessary and sufficient conditions for the hyperbolicity of a semigroup of operators. In so doing, we use Lyapunov's equation in operator form constructed from its generator. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00014346
Volume :
89
Issue :
1/2
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
59200397
Full Text :
https://doi.org/10.1134/S0001434611010251