111 citations · 284 across the 47 of their papers we have counts for
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Partial inner product spaces, metric operators and generalized hermiticity
Jean-Pierre Antoine, Camillo Trapani
Motivated by the recent developments of pseudo-hermitian quantum mechanics, we analyze the structure of unbounded metric operators in a Hilbert space. It turns out that such operat…
Induced and reduced unbounded operator algebras
Fabio Bagarello, Atsushi Inoue, Camillo Trapani
The induction and reduction precesses of an O*-vector space $\M$ obtained by means of a projection taken, respectively, in $\M$ itself or in its weak bounded commutant $\M'_\w$ are…
Representable linear functionals on partial *-algebras
Fabio Bagarello, Atsushi Inoue, Camillo Trapani
A GNS - like *-representation of a \pa\ $\A$ defined by certain representable linear functionals on $\A$ is constructed. The study of the interplay with the GNS construction associ…
Locally convex quasi -normed algebras
Fabio Bagarello, Maria Fragoulopoulou, Atsushi Inoue +1
If $\ca_0[|\cdot|_0]$ is a $\cs$-normed algebra and a locally convex topology on $\ca_0$ making its multiplication separately continuous, then $\widetilde{\ca_0}[τ]$ (completio…
Partial inner product spaces: Some categorical aspects
J-P. Antoine, D. Lambert, C. Trapani
We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP spaces) and operators on them. In particular, we construct sheav…