论文标题
Oseledets子空间的Hölder连续性，用于Banach空间上的线性共体
Hölder continuity of Oseledets subspaces for linear cocycles on Banach spaces
论文作者
论文摘要
令$ f：x \ x $是紧凑型公制空间$ x $的可逆Lipschitz转换。鉴于Hölder连续可逆操作员在Banach空间和$ f $ invariant Ergodic措施上，本文在紧凑的一组任意大型措施上建立了Oseledets子空间的Hölder连续性。对于\ cite {simion16}而言，这将扩展到Banach空间上可逆操作员共生的结果。最后，本文证明了在不可逆转的情况下的Hölder连续性。
Let $f:X\to X$ be an invertible Lipschitz transformation on a compact metric space $X$. Given a Hölder continuous invertible operator cocycles on a Banach space and an $f$-invariant ergodic measure, this paper establishes the Hölder continuity of Oseledets subspaces over a compact set of arbitrarily large measure. This extends a result in \cite{Simion16} for invertible operator cocycles on a Banach space. Finally, this paper proves the Hölder continuity in the non-invertible case.
