111 citations · 284 across the 47 of their papers we have counts for
3 papers · 1 filter
Weak -frames and weak -semi-frames
Jean-Pierre Antoine, Giorgia Bellomonte, Camillo Trapani
After reviewing the interplay between frames and lower semi-frames, we introduce the notion of lower semi-frame controlled by a densely defined operator or, for short, a \emph{…
Gibbs states, algebraic dynamics and generalized Riesz systems
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
In PT-quantum mechanics the generator of the dynamics of a physical system is not necessarily a self-adjoint Hamiltonian. It is now clear that this choice does not prevent to get a…
Lower semi-frames and metric operators
J-P. Antoine, R. Corso, C. Trapani
This paper deals with the possibility of transforming a weakly measurable function in a Hilbert space into a continuous frame by a metric operator, i.e., a strictly positive self-a…