REPRESENTATIONS AND EXTREMAL PROPERTIES OF AVERAGING OPERATORS AND THEIR APPLICATIONS TO INFORMATION CHANNELS.
Abstract
The report gives general discussions about averaging operators acting over complex function algebras on compact Hausdorff spaces. The construction is based upon the informational channel between a pair of certain alphabetical input and output spaces. The starting point is the known characteristic properties of ergodic measures. Such characterizations for measures are completely and exactly extended to the cases of the averaging operators and of channels, which clarifies the structure of ergodic channels. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1968
- Accession Number
- AD0696921
Entities
People
- Hisahara Umegaki
Organizations
- University of Wisconsin–Madison