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

Research output: Chapter in Book/Report/Conference proceedingConference 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.
Original languageEnglish
Title of host publicationTopological Algebras and their Applications. Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014.
Number of pages26
Publication statusPublished - 2018

Publication series

NameDE GRUYTER PROCEEDINGS IN MATHEMATICS

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