On the relation of closed forms and Trotter ’ s product formula

@inproceedings{Matolcsi2006OnTR,
title={On the relation of closed forms and Trotter ’ s product formula},
author={M{\'a}t{\'e} Matolcsi},
year={2006}
}

The aim of this paper is to give a characterization in Hilbert spaces of the generators of C0-semigroups associated with closed, sectorial forms in terms of the convergence of a generalized Trotter’s product formula. In the course of the proof of the main result we also present a similarity result which can be of independent interest: for any unbounded generator A of a C0-semigroup e tA it is possible to introduce an equivalent scalar product on the space, such that e becomes non-quasi… CONTINUE READING