Non-Archimedean Unitary Operators
Functional Analysis
2011-02-22 v1 Mathematical Physics
math.MP
Number Theory
Abstract
We describe a subclass of the class of normal operators on Banach spaces over non-Archimedean fields (A. N. Kochubei, J. Math. Phys. 51 (2010), article 023526) consisting of operators whose properties resemble those of unitary operators. In particular, an analog of Stone's theorem about one-parameter groups of unitary operators is proved.
Cite
@article{arxiv.1102.4302,
title = {Non-Archimedean Unitary Operators},
author = {Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:1102.4302},
year = {2011}
}