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arXiv · 2211.02688

Axioms for the category of Hilbert spaces and linear contractions

Chris Heunen·Andre Kornell·Nesta van der Schaaf
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Abstract

The category of Hilbert spaces and linear contractions is characterised by elementary categorical properties that do not refer to probabilities, complex numbers, norm, continuity, convexity, or dimension.

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Chris Heunen, Andre Kornell, Nesta van der Schaaf. 2022-11-04. Axioms for the category of Hilbert spaces and linear contractions. https://doi.org/10.1112/blms.13010

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