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Then yet another application of the ergodic theorem and a factorization lemma (Lemma 4.3) show that the limit of the space averages equals the probability average at a point in
We have shown in Theorem 3.7 that every relative graph algebra is isomorphic to a graph algebra. In Theorem 5.1 we shall prove a gauge-invariant uniqueness theo- rem for C ∗
In this present note, We study and prove some properties of the large proper sublattices of finite lattices. (MOS) Subject
We prove in Section 3 the conjecture for all induced nilpotent orbits (Theorem 3.3) so that Elashvili’s conjecture reduces to the case of rigid nilpotent orbits (Theorem 3.3)1.
Theorem 14]—we get Proposition 2.4: any short exact sequence of proper chain complexes induces a long exact sequence of homology objects.. Let Ch A be the category of chain complexes
Using this representation theorem and the deterministic characterizations of exponential stability and uniform observability obtained in [ 16 ], [ 17 ], we will prove a result of
In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a
In this short paper we prove the equivalence between the Radon- Nikodym Theorem for reflexive Banach spaces and the representability of weakly compact operators with domain L 1 ( µ
