Remarks on the Trotter-Kato Product Formula for Unitary Groups

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F11%3A00365872" target="_blank" >RIV/61389005:_____/11:00365872 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00020-011-1867-2" target="_blank" >http://dx.doi.org/10.1007/s00020-011-1867-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00020-011-1867-2" target="_blank" >10.1007/s00020-011-1867-2</a>

Result language

angličtina

Original language name

Remarks on the Trotter-Kato Product Formula for Unitary Groups

Original language description

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 eachelement 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Integral Equations and Operator Theory

ISSN

0378-620X

e-ISSN

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Volume of the periodical

69

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

28

Pages from-to

451-478

UT code for WoS article

000289002800001

EID of the result in the Scopus database

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