Non-self-adjoint hamiltonians defined by generalized Riesz bases
Mathematical Physics
2016-09-21 v1 math.MP
Abstract
In \cite{b-i-t}, F. Bagarello, A. Inoue and C. Trapani investigated some operators defined by Riesz bases. These operators connect with -, and its relatives. In this paper, we change the frameworks of these operators, and then almost results obtained in \cite{b-i-t} become trivial. Furthermore, we introduce a notion of generalized Riesz bases which is a generalization of Riesz bases and investigate some operators defined by generalized Riesz bases.
Cite
@article{arxiv.1604.00161,
title = {Non-self-adjoint hamiltonians defined by generalized Riesz bases},
author = {Hiroshi Inoue and Mayumi Takakura},
journal= {arXiv preprint arXiv:1604.00161},
year = {2016}
}