Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space.
Semigroup actions on intuitionistic fuzzy 2-metric spaces.
Seminormed spaces
Separating maps and the nonarchimedean Hewitt theorem
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields
Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface.
Solutions and stability of generalized mixed type QC functional equations in random normed spaces.
Some aspects of 2-fuzzy 2-normed linear spaces.
Some counterexamples in -adic analysis
Some properties of the -method of summability in complete ultrametric fields
Some Ramsey type theorems for normed and quasinormed spaces
We prove that every bounded, uniformly separated sequence in a normed space contains a “uniformly independent” subsequence (see definition); the constants involved do not depend on the sequence or the space. The finite version of this result is true for all quasinormed spaces. We give a counterexample to the infinite version in for each 0 < p < 1. Some consequences for nonstandard topological vector spaces are derived.
Some remarks on functions with values in probabilistic normed spaces
Some Steinhaus type theorems over valued fields
Sous-groupes distingues du groupe unitaire et du groupe général linéaire d'un espace de Hilbert quaternionien.
Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space
The paper is concerned with the spectral analysis for the class of linear operators in non-archimedean Hilbert space, where is a diagonal operator and is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.
Spectral integration and spectral theory for non-Archimedean Banach spaces.
Spherical completeness with infinitesimals.
In the theory of nonarchimedean normed spaces over valued fields other than R or C, the property of spherical completeness is of utmost importance in several contexts, and it appears to play the role conventional completeness does in some topics of classical functional analysis. In this note we give various characterizations of spherical completeness for general ultrametric spaces, related to but different from the notions of pseudo-convergent sequence and pseudo-limit introduced by Ostrowski in...
Stability and superstability of ring homomorphisms on non-archimedean Banach algebras.
Stability of ultraproducts of linear topological spaces