On the discrete time version of the Brussels formalism
- 21 December 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (24) , 7939-7955
- https://doi.org/10.1088/0305-4470/27/24/007
Abstract
We develop a discrete time version of the so-called Brussels formalism in nonequilibrium statistical mechanics for continuous endomorphisms of a Banach space. We show that, if the evolution operator U and the projector P are such that PU is a compact operator and the spectral radius of (I-P)U(I-P) is strictly less than the spectral radius of U, then the formalism holds and the evolution operator is quasicompact.Keywords
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