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

Giorgia Bellomonte; Fabio Bagarello

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

Risultato della ricerca: Conference contribution

Abstract

In this paper we discuss some results on non self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that their eigenvectors form Riesz bases of a certain Hilbert space. Also, weexhibit a generalization of those results to the case of rigged Hilbert spaces, and we also consider the problemof the factorization of the aforementioned Hamiltonians in terms of generalized lowering and raising operators.

Lingua originale	English
Titolo della pubblicazione ospite	Topological Algebras and their Applications. Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014.
Numero di pagine	26
Stato di pubblicazione	Published - 2018

Serie di pubblicazioni

Nome	DE GRUYTER PROCEEDINGS IN MATHEMATICS

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On non-self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces. / Bellomonte, Giorgia ; Bagarello, Fabio.

Topological Algebras and their Applications. Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014.. 2018. (DE GRUYTER PROCEEDINGS IN MATHEMATICS).

Risultato della ricerca: Conference contribution

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AB - In this paper we discuss some results on non self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that their eigenvectors form Riesz bases of a certain Hilbert space. Also, weexhibit a generalization of those results to the case of rigged Hilbert spaces, and we also consider the problemof the factorization of the aforementioned Hamiltonians in terms of generalized lowering and raising operators.

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