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Remarks on the Trotter-Kato Product Formula for Unitary Groups
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SYSNO ASEP 0365872 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Remarks on the Trotter-Kato Product Formula for Unitary Groups Author(s) Exner, Pavel (UJF-V) RID, ORCID, SAI
Neidhardt, H. (DE)
Zagrebnov, VA. (FR)Source Title Integral Equations and Operator Theory - ISSN 0378-620X
Roč. 69, č. 4 (2011), s. 451-478Number of pages 28 s. Language eng - English Country CH - Switzerland Keywords Trotter product formula ; Trotter-Kato product formula ; unitary groups Subject RIV BE - Theoretical Physics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000289002800001 DOI 10.1007/s00020-011-1867-2 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2012
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