UNIGE document Scientific Article
previous document  unige:81805  next document
add to browser collection

On a product formula for unitary groups

Published in Bulletin of the London Mathematical Society. 2005, vol. 37, no. 4, p. 621-626
Collection Open Access - Licence nationale Oxford University Press
Abstract For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type formula Formula is shown to converge strongly in the norm closure of dom (A1/2) ∩ dom (B1/2 for some subsequence and for almost every t ∈ R. This result extends to the degenerate case, and to Kato-functions following the method of T. Kato (see ‘Trotter's product formula for an arbitrary pair of self-adjoint contraction semigroup', Topics in functional analysis (ed. M. Kac, Academic Press, New York, 1978) 185–195). Moreover, the restrictions on the convergence can be removed by considering functions other than the exponential. 2000 Mathematics Subject Classification 47D03 (primary), 47B25 (secondary).
Full text
Article (Published version) (125 Kb) - public document Free access
(ISO format)
CACHIA, Vincent. On a product formula for unitary groups. In: Bulletin of the London Mathematical Society, 2005, vol. 37, n° 4, p. 621-626. doi: 10.1112/S0024609305004479 https://archive-ouverte.unige.ch/unige:81805

272 hits



Deposited on : 2016-03-10

Export document
Format :
Citation style :