Mathematical aspects of intertwining operators: the role of Riesz bases
Fabio Bagarello
TL;DR
This paper explores the mathematical properties of intertwining operators, focusing on the significance of Riesz bases in the context of pseudo-hermitian quantum mechanics and operator analysis.
Contribution
It advances the understanding of intertwining relations by analyzing the role of Riesz bases, especially for non-self-adjoint operators in quantum mechanics.
Findings
Riesz bases are crucial in the analysis of intertwining operators.
Connections between pseudo-hermitian quantum mechanics and operator theory are clarified.
The paper extends previous work on self-adjoint operators to non-self-adjoint cases.
Abstract
In this paper we continue our analysis of intertwining relations for both self-adjoint and not self-adjoint operators. In particular, in this last situation, we discuss the connection with pseudo-hermitian quantum mechanics and the role of Riesz bases.
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