Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I
Quelques questions ouvertes en analyse ultramétrique
Remarks on Banach- -algebras. (Remarques sur les -algèbres de Banach.)
Representation of bilinear forms in non-Archimedean Hilbert space by linear operators
The paper considers representing symmetric, non-degenerate, bilinear forms on some non-Archimedean Hilbert spaces by linear operators. Namely, upon making some assumptions it will be shown that if is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then is representable by a unique self-adjoint (possibly unbounded) operator .
Representation of bilinear forms in non-Archimedean Hilbert space by linear operators II
The paper considers the representation of non-degenerate bilinear forms on the non-Archimedean Hilbert space by linear operators. More precisely, upon making some suitable assumptions we prove that if is a non-degenerate bilinear form on , then is representable by a unique linear operator whose adjoint operator exists.
Représentations -adiques de dimension infinie de sous-groupes ouverts de
Representative subalgebra of a complete ultrametric Hopf algebra
Restricted range simultaneous approximation and interpolation with preservation of the norm
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.
Some counterexamples in -adic analysis
Some properties of the -method of summability in complete ultrametric fields
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...