منابع مشابه
On Continuity of Measurable Cocycles
It is proved that every measurable, non-vanishing cocycle defined on the product of (0,∞) and an arbitrary compact metric space is continuous. Some other sufficient conditions for continuity of a cocycle are also given. Consider functions F satisfying the translation equation F (s+ t, x) = F (t, F (s, x)) (T) and real or complex valued solutions of the equation G(s+ t, x) = G(s, x)G(t, F (s, x)...
متن کاملContinuity of Derivations, Intertwining Maps, and Cocycles from Banach Algebras
Let A be a Banach algebra, and let E be a Banach A-bimodule. A linear map S :AMNE is intertwining if the bilinear map (a, b)PN (δ"S ) (a, b)B a[Sb®S(ab)Sa[b, A¬AMNE, is continuous, and a linear map D :AMNE is a deriation if δ"D ̄ 0, so that a derivation is an intertwining map. Derivations from A to E are not necessarily continuous. The purpose of the present paper is to prove that the continui...
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For Hölder continuous cocycles over an invertible, Lipschitz base, we establish the Hölder continuity of Oseledets subspaces on compact sets of arbitrarily large measure. This extends a result of Araújo et al [On Hölder-continuity of Oseledets subspaces J. Lond. Math. Soc. 93 (2016) 194–218] by considering possibly non-invertible cocycles, which, in addition, may take values in the space of com...
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We show that every measurable invariant conformal structure for a Hölder continuous linear cocycle over a subshift of finite type coincides almost everywhere with a continuous invariant conformal structure. We use this result to establish Hölder continuity of a measurable conjugacy between Hölder continuous cocycles where one of the cocycles is assumed to be uniformly quasiconformal. As a speci...
متن کاملCocycles and Almost Periodicity
We discuss different types of almost periodicity of trajectories of cocycles on compact solenoidal groups in relation to various notions of triviality of these cocycles. Introduction Let G be a compact solenoidal group, that is, a compact Abelian group containing, as a dense subgroup, the image of IR by a continuous homomorphism, say a. We shall assume that G is not a circle by requiring a to b...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2012
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2012-05570-x