Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I
Displaying 121 – 140 of 184
Quelques questions ouvertes en analyse ultramétrique
Jean-Paul Bezivin (1975/1976)
Groupe de travail d'analyse ultramétrique
Remarks on Banach- -algebras. (Remarques sur les -algèbres de Banach.)
Diarra, Bertin (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Representation of bilinear forms in non-Archimedean Hilbert space by linear operators
Toka Diagana (2006)
Commentationes Mathematicae Universitatis Carolinae
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
Dodzi Attimu, Toka Diagana (2007)
Commentationes Mathematicae Universitatis Carolinae
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
Alain Robert (1984/1985)
Groupe de travail d'analyse ultramétrique
Representative subalgebra of a complete ultrametric Hopf algebra
Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
Restricted range simultaneous approximation and interpolation with preservation of the norm
J.B. Prolla, S. Navarro (1995)
Annales mathématiques Blaise Pascal
Seminormed spaces
Pedro Telleria (1995)
Annales mathématiques Blaise Pascal
Separating maps and the nonarchimedean Hewitt theorem
J. Araujo, E. Beckenstein, L. Narici (1995)
Annales mathématiques Blaise Pascal
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Gritzmann, Peter, Klee, Victor (1998)
Journal of Convex Analysis
Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields
P.N. Natarajan, V. Srinivasan (2002)
Annales mathématiques Blaise Pascal
Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface.
Schneider, Baruch (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Some counterexamples in -adic analysis
Ján Mináč (1980)
Mathematica Slovaca
Some properties of the -method of summability in complete ultrametric fields
P.N. Natarajan (2002)
Annales mathématiques Blaise Pascal
Some Steinhaus type theorems over valued fields
P.N. Natarajan (1996)
Annales mathématiques Blaise Pascal
Sous-groupes distingues du groupe unitaire et du groupe général linéaire d'un espace de Hilbert quaternionien.
Torgasev, Aleksandar (1981)
Publications de l'Institut Mathématique. Nouvelle Série
Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space
Toka Diagana, George D. McNeal (2009)
Commentationes Mathematicae Universitatis Carolinae
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.
Ludkovsky, S., Diarra, B. (2002)
International Journal of Mathematics and Mathematical Sciences
Spherical completeness with infinitesimals.
José Manuel Bayod (1982)
Revista Matemática Hispanoamericana
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...