17 citations · 56 across the 5 of their papers we have counts for
6 papers
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…
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…
Semi-regular biorthogonal pairs and generalized Riesz bases
Hiroshi Inoue
In this paper we define the notion of semi-regular biorthogonal pairs what is a generalization of regular biorthogonal pairs in Ref. \cite{hiroshi1} and show that if $(\{ ϕ_{n} \}…
Regular biorthogonal pairs and Psuedo-bosonic operators
Hiroshi Inoue, Mayumi Takakura
The first purpose of this paper is to show a method of constructing a regular biorthogonal pair based on the commutation rule: for a pair of operators and acting…
General theory of regular biorthogonal pairs and its physical applications
H. Inoue
In this paper we introduce a general theory of regular biorthogonal sequences and its physical applications. Biorthogonal sequences and in a Hilbert spa…
Non-self-adjoint hamiltonians defined by generalized Riesz bases
Hiroshi Inoue, Mayumi Takakura
In \cite{b-i-t}, F. Bagarello, A. Inoue and C. Trapani investigated some operators defined by Riesz bases. These operators connect with -${\it hermitian \; quantum \;…