English

Biorthogonal vectors, sesquilinear forms and some physical operators

Mathematical Physics 2018-04-04 v1 math.MP Quantum Physics

Abstract

Continuing the analysis undertaken in previous articles, we discuss some features of non-self-adjoint operators and sesquilinear forms which are defined starting from two biorthogonal families of vectors, like the so-called generalized Riesz systems, enjoying certain properties. In particular we discuss what happens when they forms two \D\D-quasi bases.

Keywords

Cite

@article{arxiv.1802.09559,
  title  = {Biorthogonal vectors, sesquilinear forms and some physical operators},
  author = {Fabio Bagarello and Hiroshi Inoue and Camillo Trapani},
  journal= {arXiv preprint arXiv:1802.09559},
  year   = {2018}
}

Comments

in press in Journal of Mathematical Physics

R2 v1 2026-06-23T00:34:13.682Z