Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"{o}lder continuity of Oseledets subspaces for linear cocycles on
  Banach spaces   Let $f:X\to X$ be an invertible Lipschitz transformation on a compact metric
space $X$. Given a H\"{o}lder continuous invertible operator cocycles on a
Banach space and an $f$-invariant ergodic measure, this paper establishes the
H\"{o}lder 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 H\"{o}lder
continuity in the non-invertible case.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph