paper

Biorthogonal vectors, sesquilinear forms and some physical operators

arXiv:1802.09559 · doi:10.1063/1.5020427

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 $\D$-quasi bases.

in press in Journal of Mathematical Physics