TY - GEN

T1 - Bessel sequences, Riesz-like bases and operators in Triplets of Hilbert spaces

AU - Bellomonte, Giorgia

PY - 2016

Y1 - 2016

N2 - Riesz-like bases for a triplet of Hilbert spaces are investigated, in connection with an analogous study for more general rigged Hilbert spaces performed in a previous paper. It is shown, in particular, that every ω-independent, complete (total) Bessel sequence is a (strict) Riesz-like basis in a convenient triplet of Hilbert spaces. An application to non self-adjoint Schrödinger-type operators is considered. Moreover, some of the simplest operators we can define by them and their dual bases are studied.

AB - Riesz-like bases for a triplet of Hilbert spaces are investigated, in connection with an analogous study for more general rigged Hilbert spaces performed in a previous paper. It is shown, in particular, that every ω-independent, complete (total) Bessel sequence is a (strict) Riesz-like basis in a convenient triplet of Hilbert spaces. An application to non self-adjoint Schrödinger-type operators is considered. Moreover, some of the simplest operators we can define by them and their dual bases are studied.

UR - http://hdl.handle.net/10447/209756

M3 - Conference contribution

SN - 978-3-319-31354-2; 978-3-319-31356-6

T3 - SPRINGER PROCEEDINGS IN PHYSICS

SP - 167

EP - 183

BT - Non-Hermitian Hamiltonians in Quantum Physics

ER -