Classification of States for Operators

Abstract

We characterize the sets of positive states and null states for nonsingular Markov processes and, more generally, for positive contractions in L sub 1. The set P of positive states is an invariant set and carries all finite invariant measures which are absolutely continuous with respect to a given measure mu, the initial distribution.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD1027223

Entities

People

  • Ulrich Krengel

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms
  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Classification
  • Convergence
  • Decomposition
  • Inequalities
  • Markov Chains
  • Markov Processes
  • Military Research
  • Numbers
  • Probability
  • Probability Distributions
  • Random Variables
  • Real Numbers
  • Scientific Research
  • Sequences
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.