A remark on generalized commutation relation and subnormality

• Autorzy: Stochel J.B.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hilbert space; generalized commutation relations; creation operator; analytic vectors

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 1
• Strony: 151--160
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Stochel J.B.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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