Automatic continuity of biseparating maps
We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.
Automatic continuity of generalized intertwining operators [Book]
Automatic continuity of homomorphisms and derivations on algebras of continuous vector-valued functions
Automatic continuity of operational calculi on algebras of differentiable functions
Automatic continuity of operators commuting with translations
Let and be representations of a topological group G on Banach spaces X and Y, respectively. We investigate the continuity of the linear operators Φ: X → Y with the property that for each t ∈ G in terms of the invariant vectors in Y and the automatic continuity of the invariant linear functionals on X.
Automatic Continuity over Moore Groups.
Automatische Stetigkeitseigenschaften einiger Klassen linearer Operatoren.
Automorphism Groups of Jordan C*-Algebras.
Automorphisms and derivations on a universally complete complex -algebra.
Axiomatic cohomology of operator algebras
Axiomatic theory of spectrum III: semiregularities
We introduce and study the notions of upper and lower semiregularities in Banach algebras. These notions generalize the previously studied notion of regularity - a class is a regularity if and only if it is both upper and lower semiregularity. Each semiregularity defines in a natural way a spectrum which satisfies a one-way spectral mapping property (the spectrum defined by a regularity satisfies the both-ways spectral mapping property).