Distribution des valeurs des fonctions analytiques multiformes
Distributionen mit Werten in topologischen Vektorräumen II.
Ditkin's Theorem and ...SIN...-Groups.
Divisible subspaces and problems of automatic continuity
Division Formulas for Holomorphic Mappings with Values in Banach Algebra.
Domination properties in ordered Banach algebras
We recall from [9] the definition and properties of an algebra cone C of a real or complex Banach algebra A. It can be shown that C induces on A an ordering which is compatible with the algebraic structure of A. The Banach algebra A is then called an ordered Banach algebra. An important property that the algebra cone C may have is that of normality. If C is normal, then the order structure and the topology of A are reconciled in a certain way. Ordered Banach algebras have interesting spectral properties....
Double multipliers on topological algebras.
Dual Banach algebras: representations and injectivity
We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way to C*- and W*-algebras; we show that interpolation space techniques can be used in place of GNS type arguments....
Dual complementors in topological algebras
We deal with dual complementors on complemented topological (non-normed) algebras and give some characterizations of a dual pair of complementors for some classes of complemented topological algebras. The study of dual complementors shows their deep connection with dual algebras. In particular, we refer to Hausdorff annihilator locally C*-algebras and to proper Hausdorff orthocomplemented locally convex H*-algebras. These algebras admit, by their nature, the same type of dual pair of complementors....
Dual spaces of JB*-triples and the Radon-Nikodym property.
Duality Theorems for Algebras in Convenient Categories.
Einfache Moduln über gewissen Banachschen Algebren: Ein Imprimitivitätssatz .
Elementary operators and subhomogeneous -algebras. II.
Elements of C*-algebras commuting with their Moore-Penrose inverse
We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.
Elements of finite closed descent in Banach and Fréchet algebras
This paper will give a brief survey of ideas related to 'elements of finite closed descent' in certain kinds of topological algebra.
Embedding C(K) in B(X).
Embedding locally convex algebras in non A-convex algebras without non-zero continuous multiplicative linear functionals
Entire functions and equicontinuity of power maps in Baire algebras.
We obtain that the power maps are equicontinuous at zero in any Baire locally convex algebra with a continuous product in which all entire functions operate; whence is m-convex in the commutative case. As a consequence, we get the same result of Mityagin, Rolewicz and Zelazko for commutative B0-algebras.
Entire functions and -convex structure in commutative Baire algebras.
Equicontinuity of power maps in locally pseudo-convex algebras
We show that, in any unitary (commutative or not) Baire locally pseudo-convex algebra with a continuous product, the power maps are equicontinuous at zero if all entire functions operate. We obtain the same conclusion if every element is bounded. An immediate consequence is a result of A. Arosio on commutative and complete metrizable locally convex algebras.