English

Towards Generalized Riesz Systems Theory

Functional Analysis 2019-10-18 v1

Abstract

Pseudo-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.

Keywords

Cite

@article{arxiv.1910.07606,
  title  = {Towards Generalized Riesz Systems Theory},
  author = {Alan Kamuda and Sergiusz Kużel},
  journal= {arXiv preprint arXiv:1910.07606},
  year   = {2019}
}
R2 v1 2026-06-23T11:45:58.330Z