Previous issue ·  Next issue ·  Most recent issue in the archive · All issues in the archive   

Journal of Operator Theory

Volume 46, Issue 1, Summer 2001  pp. 199-213.

Operator-norm convergence of the Trotter product formula for holomorphic semigroups

Authors:  Vincent Cachia (1), and Valentin A. Zagrebnov (2)
Author institution: (1) Centre de Physique Theorique, UPR 7061, CNRS Luminy, Case 907, F--13288 Marseille Cedex 9, France
(2) Centre de Physique Theorique, UPR 7061, CNRS Luminy, Case 907, F--13288 Marseille Cedex 9, France


Summary:  We study the error estimates in operator norm for the Trotter product formula. It is shown that some recent results in this direction can be extended to non-self-adjoint generators and to the case of a Banach space for a class of holomorphic semigroups.

Keywords:  Trotter product formula, operator-norm convergence, holomorphic semigroups


Contents    Full-Text PDF