6533b7d5fe1ef96bd12651b8
RESEARCH PRODUCT
On non-self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces
Giorgia BellomonteFabio Bagarellosubject
Pure mathematicssymbols.namesakeNon self-adjoint Hamiltonians Riesz bases rigged Hilbert spacesSettore MAT/05 - Analisi MatematicaHilbert spacesymbolsSelf-adjoint operatorMathematicsdescription
In this paper we discuss some results on non self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that their eigenvectors form Riesz bases of a certain Hilbert space. Also, we exhibit a generalization of those results to the case of rigged Hilbert spaces, and we also consider the problem of the factorization of the aforementioned Hamiltonians in terms of generalized lowering and raising operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-05-07 |