On suprema of metrizable vector topologies with trivial dual
On Tensor Product Characterization of Nuclear Spaces.
On the abstract Hahn-Banach theorem due to Rodé.
On the algebra of smooth operators
Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a Hölder continuous functional calculus in this algebra. The key tool is the property (DN) of s.
On the Banach principle.
On the Banach-Mazur distance between continuous function spaces with scattered boundaries
We study the dependence of the Banach-Mazur distance between two subspaces of vector-valued continuous functions on the scattered structure of their boundaries. In the spirit of a result of Y. Gordon (1970), we show that the constant appearing in the Amir-Cambern theorem may be replaced by for some class of subspaces. We achieve this by showing that the Banach-Mazur distance of two function spaces is at least 3, if the height of the set of weak peak points of one of the spaces differs from the...
On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution
On the BAP in Fréchet Schwartz Spaces and Their Duals.
On the Barrelledness of a topological Algebra Relative to its Spectrum
On the Choquet and Bishop-de Leeuw theorems
On the class of entire Dirichlet functions of several complex variables having finite order point
On the class of positive almost weak Dunford-Pettis operators
In this paper, we introduce and study the class of almost weak Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP property. Next, we characterize pairs of Banach lattices for which each positive almost weak Dunford-Pettis operator is almost Dunford-Pettis.
On the class of positive disjoint weak -convergent operators
We introduce and study the disjoint weak -convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of positive disjoint weak -convergent operators. Next, we examine the relationship between disjoint weak -convergent operators and disjoint -convergent operators. Finally, we characterize order bounded disjoint weak -convergent operators in terms...
On the closed graph theorem
On the closed graph theorem between topological vector spaces and Banach spaces.
On the Closed Graph Theorem in Topological Spaces.
On the Completition of (LF)-Spaces.
On the connectedness of the set of fixed points of a compact operator in the Fréchet space
On the derived tensor product functors for (DF)- and Fréchet spaces
For a (DF)-space E and a tensor norm α we investigate the derivatives of the tensor product functor from the category of Fréchet spaces to the category of linear spaces. Necessary and sufficient conditions for the vanishing of , which is strongly related to the exactness of tensored sequences, are presented and characterizations in the nuclear and (co-)echelon cases are given.
On the diagonal of matrix transformations