Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One

Abstract

Since quite a time there were available only two rather difficult and involved proofs, the original one by Arveson and a more recent one by Liebscher, of the fact that for every Arveson system there exists an E_0-semigroup. We put together two recent short proofs, one by Skeide and one by Arveson, to obtain a still simpler one, which unfies the advantages of each proof and discards with their disadvantages.

References in corpus (2)

• Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces
• A Simple Proof of the Fundamental Theorem about Arveson Systems