Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590108 | Journal of Functional Analysis | 2014 | 14 Pages |
Abstract
Let B be a finite, separable von Neumann algebra. We prove that a B-valued distribution μ that is the weak limit of an infinitesimal array is infinitely divisible. The proof of this theorem utilizes the Steinitz lemma and may be adapted to provide a nonstandard proof of this type of theorem for various other probabilistic categories. We also develop weak topologies for this theory and prove the corresponding compactness and convergence results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
John D. Williams,