Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I
Sergey V. Ludkovsky (2000)
Annales mathématiques Blaise Pascal
Jean-Paul Bezivin (1975/1976)
Groupe de travail d'analyse ultramétrique
Diarra, Bertin (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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 .
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.
Alain Robert (1984/1985)
Groupe de travail d'analyse ultramétrique
Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
J.B. Prolla, S. Navarro (1995)
Annales mathématiques Blaise Pascal
Pedro Telleria (1995)
Annales mathématiques Blaise Pascal
J. Araujo, E. Beckenstein, L. Narici (1995)
Annales mathématiques Blaise Pascal
Gritzmann, Peter, Klee, Victor (1998)
Journal of Convex Analysis
P.N. Natarajan, V. Srinivasan (2002)
Annales mathématiques Blaise Pascal
Schneider, Baruch (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ján Mináč (1980)
Mathematica Slovaca
P.N. Natarajan (2002)
Annales mathématiques Blaise Pascal
P.N. Natarajan (1996)
Annales mathématiques Blaise Pascal
Torgasev, Aleksandar (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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.
Ludkovsky, S., Diarra, B. (2002)
International Journal of Mathematics and Mathematical Sciences
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...