Discontinuity of the product in multiplier algebras.
Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.
Distinguishing Jordan polynomials by means of a single Jordan-algebra norm
For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on . This analytic determination of Jordan polynomials improves the one recently obtained in [5].
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.