Divisible subspaces and problems of automatic continuity

Automatic Continuity of Homomorphisms Between Banach algebras and Frechet algebras

Banach module valued separating maps and automatic continuity

For two algebras $A$ and $B$, a linear map $T:A longrightarrow B$ is called separating, if $xcdot y=0$ implies $Txcdot Ty=0$ for all $x,yin A$. The general form and the automatic continuity of separating maps between various Banach algebras have been studied extensively. In this paper, we first extend the notion of separating map for module case and then we give a description of a linear se...

Automatic Continuity of Higher Derivations on JB*-Algebras

On Hölder-continuity of Oseledets subspaces

For Hölder cocycles over a Lipschitz base transformation, possibly noninvertible, we show that the subbundles given by the Oseledets Theorem are Höldercontinuous on compact sets of measure arbitrarily close to 1. The results extend to vector bundle automorphisms, as well as to the Kontsevich-Zorich cocycle over the Teichmüller flow on the moduli space of abelian differentials. Following a recen...

Symmetrizers and Continuity of Stable Subspaces for Parabolic-Hyperbolic Boundary Value Problems

In this paper we prove the continuity of stable subspaces associated to parabolic-hyperbolic boundary value problems, for limiting values of parameters. The analysis is based on the construction performed in [MZ] of Kreiss’ type symmetrizers.