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GIORGIA BELLOMONTE

On non-self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces

  • Autori: Bagarello Fabio / Bellomonte Giorgia
  • Anno di pubblicazione: 2018
  • Tipologia: Contributo in atti di convegno pubblicato in volume
  • OA Link: http://hdl.handle.net/10447/354920

Abstract

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.