111 citations · 284 across the 47 of their papers we have counts for
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Riesz-like bases in rigged Hilbert spaces
Giorgia Bellomonte, Camillo Trapani
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged Hilbert space $\D[t] \subset \H \subset \D^\times[t^\times]$. A Riesz-like basis,…
Locally convex quasi C*-algebras and noncommutative integration
Camillo Trapani, Salvatore Triolo
In this paper we continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm and we…
Operator (quasi-)similarity, quasi-Hermitian operators and all that
Jean-Pierre Antoine, Camillo Trapani
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure generated by unbounded metric operators in a Hilbert space. To that effect, we…
Reproducing pairs of measurable functions
Jean-Pierre Antoine, Michael Speckbacher, Camillo Trapani
We analyze the notion of reproducing pair of weakly measurable functions, which generalizes that of continuous frame. We show, in particular, that each reproducing pair generates t…