Abstract
Prigogine and Misra have shown that any K-dynamical system is densely similar to a Markov process converging to equilibrium. In their construction the self-adjoint operator realizing the dense similarity is a function of the positive part of the polar form of the Markov operator. In this work we show that this property holds in a very general framework.
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References
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© 1993 Springer Science+Business Media Dordrecht
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Bertoglio, N., Martínez, S., Martín, J.S. (1993). Polar Decomposition And Dense Similarity To Unitary Operators. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_10
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DOI: https://doi.org/10.1007/978-94-011-1906-1_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4842-2
Online ISBN: 978-94-011-1906-1
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