Počet záznamů: 1
Remarks on the Trotter-Kato Product Formula for Unitary Groups
- 1.0365872 - ÚJF 2012 RIV CH eng J - Článek v odborném periodiku
Exner, Pavel - Neidhardt, H. - Zagrebnov, VA.
Remarks on the Trotter-Kato Product Formula for Unitary Groups.
Integral Equations and Operator Theory. Roč. 69, č. 4 (2011), s. 451-478. ISSN 0378-620X. E-ISSN 1420-8989
Grant CEP: GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: Trotter product formula * Trotter-Kato product formula * unitary groups
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 0.626, rok: 2011
Let A and B be non-negative self-adjoint operators in a separable Hilbert space such that their form sum C is densely defined. It is shown that the Trotter product formula holds for imaginary parameter values in the L (2)-norm, that is, one has for each element h of the Hilbert space and any T > 0. This result is extended to the class of holomorphic Kato functions, to which the exponential function belongs. Moreover, for a class of admissible functions: where for any T > 0.
Trvalý link: http://hdl.handle.net/11104/0201015
Počet záznamů: 1