%0 Journal Article %T On the weak analogue of the Trotter-Kato theorem %A Tanja Eisner %A Andras Sereny %J Mathematics %D 2008 %I arXiv %X In the Trotter-Kato approximation theorem for C_0-semigroups on Banach spaces, we replace the strong by the weak operator topology and discuss the validity of the relevant implications. %U http://arxiv.org/abs/0805.1027v1