PageHeader : Funkcialaj Ekvacioj, 38 (1995) 159-177 Title : On Weakly Hyperbolic Equations in Hilbert Spaces AuthorInfo : By AuthorInfo : Piero D'ANCONA AuthorInfo : (Universita di Pisa, Italy) section : 1. Introduction section : 2. Energy estimates section : 3. Proof of the theorems section : 4. A lemma on partial differential operators section : 5. Applications section : Appendix section : References