Path spaces, continuous tensor products, and E_0 semigroups
| dc.creator | Arveson, William | |
| dc.date | 1994-11-20 | |
| dc.date | 1994-11-21 | |
| dc.date.accessioned | 2026-07-07T08:59:16Z | |
| dc.date.available | 2026-07-07T08:59:16Z | |
| dc.description | We classify all continuous tensor product systems of Hilbert spaces which are ``infinitely divisible" in the sense that they have an associated logarithmic structure. These results are applied to the theory of E_0 semigroups to deduce that every E_0 semigroup which possesses sufficiently many ``decomposable" operators must be cocycle conjugate to a CCR flow. A *path space* is an abstraction of the set of paths in a topological space, on which there is given an associative rule of concatenation. A metric path space is a pair (P,g) consisting of a path space P and a function g:P^2 --> complex numbers which behaves as if it were the logarithm of a multiplicative inner product. The logarithmic structures associated with infinitely divisible product systems are such objects. The preceding results are based on a classification of metric path spaces. | |
| dc.description | 80 pages, AMSTeX 2.0, Please Note..this is the full version of a previously-posted file that was somehow truncated in transit | |
| dc.identifier | https://arxiv.org/abs/funct-an/9411006 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9411006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147649 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Path spaces, continuous tensor products, and E_0 semigroups | |
| dc.type | text |