Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations

Autor:	Silva, Luis O., Toloza, Julio H.
Rok vydání:	2017
Předmět:	Mathematics - Functional Analysis Mathematical Physics Mathematics - Spectral Theory 46E22 47A70 (Primary) 47A55 47B15 47B25 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.1080/17476933.2018.1536701
Popis:	We derive a description of the family of canonical selfadjoint extensions of the operator of multiplication in a de Branges space in terms of singular rank-one perturbations using distinguished elements from the set of functions associated with a de Branges space. The scale of rigged Hilbert spaces associated with this construction is also studied from the viewpoint of de Branges's theory. Comment: 26 pages no figures. Typos corrected. Some remarks and an example added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.09400 Zobrazit plný text záznamu View this record from Arxiv