The second dual spaces of the sets of -strongly convergent and bounded sequences.
The Semi Orlicz Space
The semi-difference entire sequence space .
The space bv(p), its β-dual and matrix transformations.
The space of multipliers into
The space of real-analytic functions has no basis
Let Ω be an open connected subset of . We show that the space A(Ω) of real-analytic functions on Ω has no (Schauder) basis. One of the crucial steps is to show that all metrizable complemented subspaces of A(Ω) are finite-dimensional.
The space and σ-core
We give some new properties of the space and we apply them to the σ-core theory. These results generalize those by Choudhary and Yardimci.
The Splitting Relation for Köthe Spaces.
The Strong Topology on a Rearrangement Invariant Köthe Space.
The Strong Topology on the Dual Space of a Summability Field and the Mu-Continuity Problem.
The tensor algebra of power series spaces
The linear isomorphism type of the tensor algebra T(E) of Fréchet spaces and, in particular, of power series spaces is studied. While for nuclear power series spaces of infinite type it is always s, the situation for finite type power series spaces is more complicated. The linear isomorphism T(s) ≅ s can be used to define a multiplication on s which makes it a Fréchet m-algebra . This may be used to give an algebra analogue to the structure theory of s, that is, characterize Fréchet m-algebras...
The topological product structure of systems of Lebesgue spaces.
The fuzzy numbers defined by a modulus
The sequence spaces defined by a modulus
Topological duals of some paranormed sequence spaces.
Topological properties and matrix transformations of certain ordered generalized sequence spaces.
Transformaciones entre espacios de funciones continuas casi convergentes.
Two valued measure and some new double sequence spaces in -normed spaces
The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in -normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.
Über Endomorphismen mit dichten Bahnen.
Über nukleare -Räume mit Basis