Description of all regular cones in a Hilbert space.
Descriptive properties of elements of biduals of Banach spaces
If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of , generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes...
Determining subspaces of conjugate locally convex spaces
Deux espaces de Banach et leurs modèles étalés
Deux essais de généralisation du critère de Grothendieck (compacité faible des ensembles de mesures)
Deux types nouveaux d'extension de formes linéaires positives et continues
Deviation from weak Banach–Saks property for countable direct sums
We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach-Saks property. We prove that if (Xν) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach-Saks property, then the deviation from the weak Banach-Saks property of an operator of a certain class between direct sums E(Xν) is equal to the supremum of such deviations attained on the coordinates Xν. This is a quantitative version for operators of the result...
Diagonal and Convolution Operators as Elements of Operator Ideals.
Diagonal mappings between sequence spaces
Diagonal operators on spaces of measurable functions.
Diagonal operators on spaces of measurable functions
Diameter-preserving maps on various classes of function spaces
Under some mild assumptions, non-linear diameter-preserving bijections between (vector-valued) function spaces are characterized with the help of a well-known theorem of Ulam and Mazur. A necessary and sufficient condition for the existence of a diameter-preserving bijection between function spaces in the complex scalar case is derived, and a complete description of such maps is given in several important cases.
Diametral dimension of some pseudoconvex multiscale spaces
Stemming from the study of signals via wavelet coefficients, the spaces are complete metrizable and separable topological vector spaces, parametrized by a function ν, whose elements are sequences indexed by a binary tree. Several papers were devoted to their basic topology; recently it was also shown that depending on ν, may be locally convex, locally p-convex for some p > 0, or not at all, but under a minor condition these spaces are always pseudoconvex. We deal with some more sophisticated...
Diametral dimensions of Cartesian products, stability of smooth sequence spaces and applications.
Dichotomies pour les espaces de suites réelles
There is a general conjecture, the dichotomy (C) about Borel equivalence relations E: (i) E is Borel reducible to the equivalence relation where X is a Polish space, and a Polish group acting continuously on X; or (ii) a canonical relation is Borel reducible to E. (C) is only proved for special cases as in [So]. In this paper we make a contribution to the study of (C): a stronger conjecture is true for hereditary subspaces of the Polish space of real sequences, i.e., subspaces such that ...
Die Metrische Struktur der Sonnen in l...(n).
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern II.
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern I.
Die Ordnungstopologie und ordnungstonnelierte Topologien auf Vektorverbanden.
Die richtigen Räume für Analysis im Unendlich-Dimensionalen.