From slightly coloured noises to unitless product systems
Boris Tsirelson
Abstract
Stationary Gaussian generalized random processes having slowly decreasing spectral densities give rise to product systems in the sense of William Arveson (basically, continuous tensor product systems of Hilbert spaces). A continuum of nonisomorphic unitless product systems is produced, answering a question of Arveson.
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