Local analysis of nonstandard functions of pre-distributional type
Loeb completion of internal vector-valued measures.
Nonstandard Integration Theory in Topological Vector Lattices.
On combined nonstandard methods in functional analysis.
On infinitesimally optimal paths.
On near-standardness in Hilbert spaces.
On stability and growth of solutions for classes of initial and boundary value problems
On the -th birthday of Semen Samsonovich Kutateladze for .
On ultrapowers of linear topological spaces without convexity conditions.
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.
Stability of ultraproducts of linear topological spaces
Sur une classe d'algèbre de fonctions généralisées application aux systèmes différentiels
The Banach Spaces ...p(n) for large p and n.
The Hahn-Banach Theorem surveyed [Book]
The solution of embedding problems in the framework of GAPs with applications on nonlinear PDEs.
The uniform classification of boundedly compact locally convex spaces
Theory of hypernumbers and extrafunctions: functional spaces and differentiation.
Transformadas De Poisson De Funciones No-Estandares.
Ultrapowers of unbounded selfadjoint operators
Unsolved nonstandard problems.