Examples of markov dilations over the 2×2 matrices

Authors :: Burkhard Kümmerer
Source :: Quantum Probability and Applications to the Quantum Theory of Irreversible Processes ISBN: 9783540129158
Publication Year :: 1984
Publisher :: Springer Berlin Heidelberg, 1984.
Abstract: We construct and discuss some explicit examples of Markov dilations for semigroups of completely positive operators on the W*-algebra of 2×2 matrices. In particular, we obtain a continuous Markov dilation for a semigroup of non-quasifree operators.

Subjects :: Dilation (metric space)
Pure mathematics
Markov chain
Mathematics::Operator Algebras
Semigroup
Discrete dynamical system
Markov property
Construct (python library)
Conditional expectation

ISBN :: 978-3-540-12915-8
ISBNs :: 9783540129158
Database :: OpenAIRE
Journal :: Quantum Probability and Applications to the Quantum Theory of Irreversible Processes ISBN: 9783540129158
Accession number :: edsair.doi...........085d0f23367a1faacc52fb0aea9a13a0
Full Text :: https://doi.org/10.1007/bfb0071725