The approximation property of order p in locally convex spaces.
The basic sequence problem
We construct a quasi-Banach space X which contains no basic sequence.
The closed neighborhood and filter conditions in solid sequence spaces.
The integral analog of a series with a two-point sum range.
The Property (DN) and the Exponential Representation of Holomorphic Functions.
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 Steinitz theorem on rearrangement of series for nuclear spaces.
Theoremes of the Orlicz-Pettis-Type for Locally Convex Spaces.
Théorèmes sur le prolongement analytique du type «edge of the wedge theorem»
Timan's Formula for the Deviation of Hölder Functions.
Topological algebras with an orthogonal total sequence
The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the “coefficient functionals”. Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence satisfying and for all n ∈ ℕ.
Topological duals of some paranormed sequence spaces.
Two problems of valdivia on distinguished Frechet spaces.