6533b7cefe1ef96bd1257b19
RESEARCH PRODUCT
Bessel sequences, Riesz-like bases and operators in Triplets of Hilbert spaces
Giorgia Bellomontesubject
Pure mathematicsSequenceBasis (linear algebra)010308 nuclear & particles physics010102 general mathematicsHilbert spaceRiesz bases quasi-Hermitian operators rigged Hilbert spaces01 natural sciencesSchauder basissymbols.namesakeSettore MAT/05 - Analisi Matematica0103 physical sciencessymbols0101 mathematicsConnection (algebraic framework)Bessel functionMathematicsdescription
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 \(\omega \)-independent, complete (total) Bessel sequence is a (strict) Riesz-like basis in a convenient triplet of Hilbert spaces. An application to non self-adjoint Schrodinger-type operators is considered. Moreover, some of the simplest operators we can define by them and their dual bases are studied.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 |