Déformations de -algèbres de Hopf
Density conditions in Fréchet and (DF)-spaces.
We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.
Diagonals of projective tensor products and orthogonally additive polynomials
Let E be a Banach space with 1-unconditional basis. Denote by (resp. ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach space tensor product, and denote by (resp. ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach lattice tensor product. We show that these four main diagonal spaces are pairwise isometrically isomorphic, and in addition, that they are isometrically lattice isomorphic to , the completion of the n-concavification of...
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern II.
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern I.
Distributionen auf dem RN als Randverteilungen holomorpher Funktionen.
Distributionen mit Werten in topologischen Vektorräumen I.
Doubly commuting operator representations of Dirichlet 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....
Duality between Spaces of p-Summable Sequences (p, g)-Summing Operators and Characterizations of Nuclearity.
Duality for Contravariant Functors on Banach Spaces.
Duality of tensor products of converge-free spaces.
Duals of spaces of compact operators