17 citations · 56 across the 5 of their papers we have counts for
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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 \;…