CANONICAL EXTENSIONS OF SYMMETRIC LINEAR RELATIONS
Adrian Sandovici · University of Groningen research database (University of Groningen / Centre for Information Technology) · 2006
The concept of canonical extension of Hermitian operators has been recently introduced by A. Kuzhel. This paper deals with a generalization of this notion to the case of symmetric linear relations. Namely, canonical regular extensions of symmetric linear relations in Hilbert spaces are studied. The main result is a characterization of canonical regular extensions in terms of a von-Neumann like formula.