Functional Model of a Closed Non-Selfadjoint Operator |
| |
Authors: | Vladimir Ryzhov |
| |
Affiliation: | (1) Suite 200 – 1628 Dickson Ave., Kelowna, BC, V1Y 9X1, Canada |
| |
Abstract: | We construct the symmetric functional model of an arbitrary closed operator with non-empty resolvent set acting on a separable Hilbert space. The construction is based on the explicit form of the Sz.-Nagy-Foiaş model of a closed dissipative operator, the Potapov-Ginzburg transform of characteristic functions, and certain resolvent identities. All considerations are carried out under minimal assumptions, and obtained results are directly applicable to problems typically arising in mathematical physics. Explicit formulae for all the objects participating in the model construction are provided. |
| |
Keywords: | 47A20 47A45 47A48 |
本文献已被 SpringerLink 等数据库收录! |
|