51 citations · 88 across the 23 of their papers we have counts for
23 papers · 1 filter
Modular Structures on Trace Class Operators and Applications to Landau Levels
S. T. Ali, F. Bagarello, G. Honnouvo
The energy levels, generally known as the Landau levels, which characterize the motion of an electron in a constant magnetic field, are those of the one-dimensional harmonic oscill…
An invariant analytic orthonormalization procedure with applications
F. Bagarello, M. R. Abdollahpour, S. Triolo
We apply the orthonormalization procedure previously introduced by two of us and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Ga…
Unbounded C-seminorms and -Representations of Partial *-Algebras
F. Bagarello, A. Inoue, C. Trapani
The main purpose of this paper is to construct *-representations from unbounded C-seminorms on partial *-algebras and to investigate their *-representations.
Topological partial *-algebras: Basic properties and examples
J. -P. Antoine, F. Bagarello, C. Trapani
Let be a partial *-algebra endowed with a topology that makes it into a locally convex topological vector space . Then is called a topological partial *-algebra i…
Structure of locally convex quasi -algebras
F. Bagarello, M. Fragoulopoulou, A. Inoue +1
The completion of a (normed) -algebra with respect to a locally convex topology on that makes the multiplication of separately continuous…
Some classes of topological quasi *-algebras
F. Bagarello, A. Inoue, C. Trapani
The completion of a locally convex *-algebra with not jointly continuous multiplication is a *-vector space with partial multiplication defined only…