• Corpus ID: 115165606

Product systems, subproduct systems and dilation theory of completely positive semigroups

@article{Shalit2010ProductSS,
  title={Product systems, subproduct systems and dilation theory of completely positive semigroups},
  author={Orr Shalit},
  journal={arXiv: Operator Algebras},
  year={2010}
}
  • Orr Shalit
  • Published 26 February 2010
  • Mathematics
  • arXiv: Operator Algebras
This thesis is dedicated to developing a dilation theory for semigroups of completely positive maps. The first part treats two-parameter semigroups, and contains also contributions to dilation theory of product system representations. The second part deals with completely positive semigroups parameterized by quite general semigroups, where the major technical tool introduced is subproduct systems and their representations. In the third part subproduct systems are studied, together with the… 
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