Noncommutative extension of an integral representation theorem of entropy (Q578549)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Noncommutative extension of an integral representation theorem of entropy |
scientific article; zbMATH DE number 4013318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noncommutative extension of an integral representation theorem of entropy |
scientific article; zbMATH DE number 4013318 |
Statements
Noncommutative extension of an integral representation theorem of entropy (English)
0 references
1986
0 references
In 1964, Umegaki proved a theorem of McMillan type concerning the integral representation of entropy in the measure theoretic framework, about which we briefly review in {\S} 1. Noncommutative probability theory is important to analyze some physical systems. In this paper, using various results obtained in operator algebras, we extend this theorem to that for noncommutative systems.
0 references
integral representation of entropy
0 references
Noncommutative probability theory
0 references
noncommutative systems
0 references
