Axioms for the category of Hilbert spaces and linear contractions

Chris Heunen; Andre Kornell; Nesta Van Der Schaaf

doi:10.1112/blms.13010

Axioms for the category of Hilbert spaces and linear contractions

Chris Heunen^*, Andre Kornell, Nesta Van Der Schaaf

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1532-1549
Number of pages	18
Journal	Bulletin of the london mathematical society
Volume	56
Issue number	4
Early online date	24 Feb 2024
DOIs	https://doi.org/10.1112/blms.13010
Publication status	Published - 2 Apr 2024

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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. ",

author = "Chris Heunen and Andre Kornell and \{Van Der Schaaf\}, Nesta",

note = "Funding Information: We thank Matthew Di Meglio and Martti Karvonen for careful reading and suggestions. Andre Kornell was supported by the Air Force Office of Scientific Research under Awards No. FA9550‐16‐1‐0082 and FA9550‐21‐1‐0041. Publisher Copyright: {\textcopyright} 2024 The Authors. Bulletin of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",

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Axioms for the category of Hilbert spaces and linear contractions

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