Non-Archimedean linear operators and applications. (English) Zbl 1112.47060

Diagana, Toka

Huntington, NY: Nova Science Publishers (ISBN 978-1-60021-405-9). xiv, 92 p. (2007).

Publisher’s description: This self-contained book provides the reader with a comprehensive presentation of recent investigations on operator theory over non-Archimedean Banach and Hilbert spaces. This includes non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions of linear operators and one-parameter families of bounded linear operators on free branch spaces.

MSC:

47S10	Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory
46S10	Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
47N20	Applications of operator theory to differential and integral equations

Keywords:

non-archimedean valued fields; unbounded linear operators; bilinear forms; functions of linear operators; one-parameter families of linear operators; free branch spaces