Towards Generalized Riesz Systems Theory

Author:

Kamuda Alan,Kużel SergiuszORCID

Abstract

AbstractPseudo-Hermitian Hamiltonians have recently become a field of wide investigation. Originally, the generalized Riesz systems (GRS) have been introduced as an auxiliary tool in this theory. In contrast, the current paper, GRSs are analysed in terms of basis theory. The relationship between semi-regular sequences and GRSs is provided. Various characterizations of GRSs are discussed.

Funder

AGH University of Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some perturbation results for quasi-bases and other sequences of vectors;Journal of Mathematical Physics;2023-04-01

2. An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces;Journal of Mathematical Physics;2021-11-01

3. Lower Semi-frames, Frames, and Metric Operators;Mediterranean Journal of Mathematics;2020-12-23

4. Gibbs States, Algebraic Dynamics and Generalized Riesz Systems;Complex Analysis and Operator Theory;2020-10-13

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