Fabio Bagarello

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20242026

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math.OA2025

Eigenstates of CQ*-algebras

Fabio Bagarello, Hiroshi Inoue, Camillo Trapani +1

Motivated by some recent results, we consider the notion of eigenstate (and eigenvalue) for an element $X$ of a CQ*-algebras and the consequences on algebraic quantum dynamics and…

math-ph2025

$e$ -product of distributions, with applications

Fabio Bagarello

We consider and reformulate a recent definition of multiplication between distributions. We show that this definition can be adopted, in particular, to prove biorthonormality of so…

math-ph2025

Sesquilinear forms as eigenvectors in quasi *-algebras, with an application to ladder elements

Fabio Bagarello, Hiroshi Inoue, Salvatore Triolo

We consider a particular class of sesquilinear forms on a {Banach quasi *-algebra} $(\A[\|.\|],\Ao[\|.\|_0])$ which we call {\em eigenstates of an element} $a\in\A$, and we deduce…

Eigenstates of CQ*-algebras

e-product of distributions, with applications

Sesquilinear forms as eigenvectors in quasi *-algebras, with an application to ladder elements

$e$ -product of distributions, with applications