- Tytuł:
- A remark on generalized commutation relation and subnormality
- Autorzy:
- Stochel, J.B.
- Powiązania:
- https://bibliotekanauki.pl/articles/254981.pdf
- Data publikacji:
- 2006
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Hilbert space
generalized commutation relations
creation operator
analytic vectors - Opis:
- Tillmann [11] proved that every operator A which fulfils the canonical commutation relation A*A - AA* = Id is an orthogonal sum of canonical creation operators. We extend this result for operators which fulfil generalized commutation relation A*A - AA* = E², where EA = AE. In addition, some inequalities which are helpful in describing analytic vectors of operators A*A, where A fulfils the generalized commutation relation, are established.
- Źródło:
-
Opuscula Mathematica; 2006, 26, 1; 151-160
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł