Finiteness of metrics on state spaces

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Finiteness of metrics on state spaces. / Kyed, David; Nest, Ryszard.

I: Bulletin of the London Mathematical Society, Bind 56, Nr. 1, 2024, s. 288-295.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Kyed, D & Nest, R 2024, 'Finiteness of metrics on state spaces', Bulletin of the London Mathematical Society, bind 56, nr. 1, s. 288-295. https://doi.org/10.1112/blms.12930

APA

Kyed, D., & Nest, R. (2024). Finiteness of metrics on state spaces. Bulletin of the London Mathematical Society, 56(1), 288-295. https://doi.org/10.1112/blms.12930

Vancouver

Kyed D, Nest R. Finiteness of metrics on state spaces. Bulletin of the London Mathematical Society. 2024;56(1):288-295. https://doi.org/10.1112/blms.12930

Author

Kyed, David ; Nest, Ryszard. / Finiteness of metrics on state spaces. I: Bulletin of the London Mathematical Society. 2024 ; Bind 56, Nr. 1. s. 288-295.

Bibtex

@article{e5f8f375280443999795356138a1a6d5,
title = "Finiteness of metrics on state spaces",
abstract = "We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple examples showing that this is not automatically the case.",
author = "David Kyed and Ryszard Nest",
note = "Publisher Copyright: {\textcopyright} 2023 The Author(s). The Bulletin of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",
year = "2024",
doi = "10.1112/blms.12930",
language = "English",
volume = "56",
pages = "288--295",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Finiteness of metrics on state spaces

AU - Kyed, David

AU - Nest, Ryszard

N1 - Publisher Copyright: © 2023 The Author(s). The Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

PY - 2024

Y1 - 2024

N2 - We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple examples showing that this is not automatically the case.

AB - We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple examples showing that this is not automatically the case.

U2 - 10.1112/blms.12930

DO - 10.1112/blms.12930

M3 - Journal article

AN - SCOPUS:85171986186

VL - 56

SP - 288

EP - 295

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 1

ER -

ID: 369479483