On extensions of Hermitian functions with a finite number of negative squares

Authors
Kaltenback, M Woracek, H
Citation
M. Kaltenback et H. Woracek, On extensions of Hermitian functions with a finite number of negative squares, J OPER THEO, 40(1), 1998, pp. 147-183
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF OPERATOR THEORY
ISSN journal
03794024 → ACNP
Volume
40
Issue
1
Year of publication
1998
Pages
147 - 183
Database
ISI
SICI code
0379-4024(199822)40:1<147:OEOHFW>2.0.ZU;2-G
Abstract
We study extensions of a Hermitian function f with a finite number of negat ive squares given on a finite interval to the whole real axis. We associate to f an (in general degenerated) inner product space and a symmetric relat ion and use the theory of selfadjoint extensions in order to describe all e xtensions of f.