Arens-regularity of algebras arising from tensor norms.
Aspects of the theory of derivations
We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.
Asymmetric decompositions of vectors in -algebras
By investigating the extent to which variation in the coefficients of a convex combination of unitaries in a unital -algebra permits that combination to be expressed as convex combination of fewer unitaries of the same algebra, we generalise various results of R. V. Kadison and G. K. Pedersen. In the sequel, we shall give a couple of characterisations of -algebras of .
Automatic continuity of biorthogonality preservers between weakly compact JB*-triples and atomic JBW*-triples
We prove that every biorthogonality preserving linear surjection from a weakly compact JB*-triple containing no infinite-dimensional rank-one summands onto another JB*-triple is automatically continuous. We also show that every biorthogonality preserving linear surjection between atomic JBW*-triples containing no infinite-dimensional rank-one summands is automatically continuous. Consequently, two atomic JBW*-triples containing no rank-one summands are isomorphic if and only if there exists a (not...
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).
Banach Algebra Methods in Prediction Theory.
Banach Algebra of Bounded Complex-Valued Functionals
In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded complex-valued functionals.
Banach algebras
Banach algebras which are a direct sum of division algebras
Banach power - associative algebras : the complex and (or) non commutative cases