Publication details

Properties of Quasi-Hermitian Operators Inherited from Self-Adjoint Operators

Authors

PASEKA Jan PULMANNOVÁ Sylvia RIEČANOVÁ Zdenka

Year of publication 2013
Type Article in Periodical
Magazine / Source International Journal of Theoretical Physics
MU Faculty or unit

Faculty of Science

Citation
Web http://link.springer.com/article/10.1007/s10773-012-1403-4
Doi http://dx.doi.org/10.1007/s10773-012-1403-4
Field General mathematics
Keywords Generalized effect algebra; Unbounded linear operators; Quasi-Hermitian operators; PT-symmetric quantum mechanics
Attached files
Description We study a generalized effect algebra of unbounded linear operators in an infinite-dimensional complex Hilbert space. This algebra equipped with a certain kind of topology allows us to show that unbounded quasi-Hermitian operators can be expressed as a difference of two infinite sums of bounded quasi-Hermitian operators.

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