Abstract
We have introduced a numerical index for CP-semigroups P in Chapter 9. If P preserves the unit, then it can be dilated to an E0-semigroup, and it was shown that the index of P agrees with the index of its minimal dilation. However, no examples were discussed and no computations were made. In particular, the results of Chapter 9 give no information about which E0-semigroups can occur as the minimal dilations of unital completely positive semigroups acting on matrix algebras.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Arveson, W. (2003). Bounded Generators. In: Noncommutative Dynamics and E-Semigroups. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21524-2_10
Download citation
DOI: https://doi.org/10.1007/978-0-387-21524-2_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1803-1
Online ISBN: 978-0-387-21524-2
eBook Packages: Springer Book Archive