Discrete-time theorems for the dichotomy of one-parameter semigroups
Ciprian Preda - Department of Mathematics, University of California, Los Angeles, CA 90095, United States (email)
Abstract: Discrete-time sufficient conditions for the dichotomy of $C_0$-semigroups are obtained in the general case when it is not required that the kernel of the dichotomic projector to be $T(t)$-invariant. Thus are extended known results due to Datko, Pazy, Zabczyk.
Keywords: One-parameter semigroup, dichotomy.
Received: February 2007; Revised: July 2007; Published: December 2007.
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