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Axioms for the category of Hilbert spaces and linear contractions

Bulletin of the London Mathematical Society (2024) 56(4) 1532-1549
DOI: 10.1112/blms.13010
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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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Heunen, C., Kornell, A., & van der Schaaf, N. (2024). Axioms for the category of Hilbert spaces and linear contractions. Bulletin of the London Mathematical Society, 56(4), 1532–1549. https://doi.org/10.1112/blms.13010

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