Počet záznamů: 1

Remarks on the Trotter-Kato Product Formula for Unitary Groups

  1. 1.
    0365872 - UJF-V 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
    Grant CEP: GA MŠk 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