From random sets to continuous tensor products: answers to three questions of W. Arveson
Boris Tsirelson
Abstract
The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with a Bessel process we get a continuum of non-isomorphic product systems.
Create a lesson
Related papers
Best proximity point results of operator type condensing mappings via measure of noncompactness and application to an infinite system of differential equations in c0 and 1
Parveen Kumar, Ankit Kumar
Bourgain-Rosenthal-Schechtman spaces in rearrangement-invariant and Hardy spaces
Konstantinos Konstantos, Pavlos Motakis, Thomas Speckhofer
The tensor product of the Fremlin tensor product of Banach lattice algebras
Jamel Jaber, Marwa Troudi
Gaussian inequalities with different covariance matrices - the Heterovariant Gaussian Brunn-Minkowski inequality
Emanuel Milman, Shohei Nakamura, Hiroshi Tsuji
Quasinormal and hyponormal operators in the β(H)-class
Ramesh Golla, Hiroyuki Osaka, Shanola S. Sequeira
A Vector-Valued Extension of a Theorem of Marciszewski
Leandro Candido