A Simple Proof of the Fundamental Theorem about Arveson Systems

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108813With every Eo-semigroup (acting on the algebra of of bounded operators on a separable infinite-dimensional Hilbert space) there is an associated Arveson system. One of the most important results about Arveson systems is that every Arveson system is the one associated with an Eo-semigroup. In these notes we give a new proof of this result that is considerably simpler than the existing ones and allows for a generalization to product systems of Hilbert module (to be published elsewhere).Publication data added, acknowledgements and a note after acceptance added, corrects a number of inconveniences that have been produced in the published version during the publication processOperator Algebras46L55; 46L53A Simple Proof of the Fundamental Theorem about Arveson Systemstext