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math-ph2019
Generalized Riesz systems and quasi bases in Hilbert space
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
The purpose of this article is twofold. First of all, the notion of -quasi basis is introduced for a pair of dense subspaces of Hilbert spaces. This consists of tw…
math-ph2018
Biorthogonal vectors, sesquilinear forms and some physical operators
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
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 biorthogo…
math-ph2016
Regular biorthogonal pairs and Psuedo-bosonic operators
Hiroshi Inoue, Mayumi Takakura
The first purpose of this paper is to show a method of constructing a regular biorthogonal pair based on the commutation rule: for a pair of operators and acting…