Direct Integrals of Selfdual Cones and Standard Forms of Neumann Algebras.
Direct summands of systems of continuous linear transformations [Book]
Directional derivates and almost everywhere differentiability of biconvex and concave-convex operators.
Disjointness preserving and diffuse operators
Distances to spaces of affine Baire-one functions
Let E be a Banach space and let and denote the space of all Baire-one and affine Baire-one functions on the dual unit ball , respectively. We show that there exists a separable L₁-predual E such that there is no quantitative relation between and , where f is an affine function on . If the Banach space E satisfies some additional assumption, we prove the existence of some such dependence.
Distinguished Köthe Spaces.
Distinguished subspaces of of maximal dimension
Distributionen mit Werten in topologischen Vektorräumen I.
Dominated operators on C[0, 1] and the (CRP).
We show that a B-space E has the (CRP) if and only if any dominated operator T from C[0, 1] into E is compact. Hence we apply this result to prove that c0 embeds isomorphically into the B-space of all compact operators from C[0, 1] into an arbitrary B-space E without the (CRP).
Double convergence and products of Fréchet spaces
The paper is devoted to convergence of double sequences and its application to products. In a convergence space we recognize three types of double convergences and points, respectively. We give examples and describe their structure and properties. We investigate the relationship between the topological and convergence closure product of two Fréchet spaces. In particular, we give a necessary and sufficient condition for the topological product of two compact Hausdorff Fréchet spaces to be a Fréchet...
Double multipliers on topological algebras.
Double Sequence Spaces Definedby a Sequence of Modulus Functions over -normed Spaces
In the present paper we introduce some double sequence spaces defined by a sequence of modulus function over -normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.
Double sequence spaces over -normed spaces
In this paper, we define some classes of double sequences over -normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Drop property on locally convex spaces
A single technique provides short proofs of some results about drop properties on locally convex spaces. It is shown that the quasi drop property is equivalent to a drop property for countably closed sets. As a byproduct, we prove that the drop and quasi drop properties are separably determined.
Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.
Dual pairs of sequence spaces.
Dual Spaces and Hahn-Banach Theorem
In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces. We formed the definitions based on dual spaces of real linear spaces. In addition, we proved properties of the norm about elements of dual spaces. For the proof we referred to descriptions in the article [21]. Finally, applying theorems of the second section, we proved the Hahn-Banach...
Duale Charakterisierungen der Schwartz-Räume.
Duale Eigenschaften von Schauder Basen in lokalkonvexen Räumen.
Dualidad de Köthe y funciones analíticas.