On necessary conditions of optimality in linear spaces
On non locally p-convex spaces
On non-archimedean locally convex spaces
On nonbornological barrelled spaces
If is the topological product of a non-countable family of barrelled spaces of non-nulle dimension, there exists an infinite number of non-bornological barrelled subspaces of . The same result is obtained replacing “barrelled” by “quasi-barrelled”.
On non-isomorphism of Banach spaces of holomorphic functions
On non-primary Fréchet Schwartz spaces
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic functions...
On Non-Semi-Reflexive Spaces.
On nonseperable simplex spaces.
On non-solid Köthe space of type
On norms and subsets of linear spaces
On operator ideals related to (p,σ)-absolutely continuous operators
We study tensor norms and operator ideals related to the ideal , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with (in the sense of Defant and Floret), we characterize the -nuclear and - integral operators by factorizations by means of the composition of the inclusion map with a diagonal operator , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components of the ideal...
On Order and Topological Completeness.
On Orlicz functions of generalized difference sequence spaces.
On Pelczynski's property (V*) in vector sequence spaces.
On perfectly homogeneous bases in quasi-Banach spaces.
On polynomial classification of locally convex spaces
On polynomially semibornological locally convex spaces
On precompact multiplication operators on weighted function spaces.
On prequojections and their duals.
The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class...
On Primary Simplex Spaces.