Preprint
Positive operator-valued kernels and non-commutative probability
arXiv.org
Cornell University
05/15/2024
DOI: 10.48550/arxiv.2405.09315
Abstract
We prove new factorization and dilation results for general positive operator-valued kernels, and we present their implications for associated Hilbert space-valued Gaussian processes, and their covariance structure. Further applications are to non-commutative probability theory, including a non-commutative Radon--Nikodym theorem for systems of completely positive maps.
Details
- Title: Subtitle
- Positive operator-valued kernels and non-commutative probability
- Creators
- Palle E. T JorgensenJames Tian
- Resource Type
- Preprint
- Publication Details
- arXiv.org
- DOI
- 10.48550/arxiv.2405.09315
- eISSN
- 2331-8422
- Publisher
- Cornell University; Ithaca, New York
- Language
- English
- Date posted
- 05/15/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984628160202771
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