Szczegóły publikacji
Opis bibliograficzny
A spectral representation for bounded non-selfadjoint operators / Alexandra Cojuhari, Jerzy STOCHEL // Complex Analysis and Operator Theory ; ISSN 1661-8254. — 2012 — vol. 6 no. 3, s. 819–828. — Bibliogr. s. 828, Abstr. — Publikacja dostępna online od: 2011-10-20. — Functions and Operators (FaO2010) : Krakow, Poland, June 21 - 25, 2010
Autorzy (2)
- Cojuhari Alexandra
- AGHStochel Jerzy Bartłomiej
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 68065 |
|---|---|
| Data dodania do BaDAP | 2012-09-28 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11785-011-0198-2 |
| Rok publikacji | 2012 |
| Typ publikacji | referat w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Complex Analysis and Operator Theory |
Abstract
An integral representation for an arbitrary bounded operator T defined on a Hilbert space H is given. The representing measure is in general defined on a Jordan curve surrounding the spectrum of T. It is obtained as a limit, in a certain weak sense, of a family (F r ) of absolutely continuous measures the Radon–Nikodym derivative of which (with respect to the standard Lebesgue measure on the considered Jordan curve) are described explicitly in terms of the operator T and its adjoint T *.