Non-self-adjoint hamiltonians defined by generalized Riesz bases
Abstract
In b-i-t, F. Bagarello, A. Inoue and C. Trapani investigated some operators defined by Riesz bases. These operators connect with quasi- hermitian \; quantum \; mechanics, and its relatives. In this paper, we change the frameworks of these operators, and then almost results obtained in 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.
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