On the resolvent convergence of discrete Dirac operators on 3D cubic lattices

Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 and Umeda, Tomio 2025. On the resolvent convergence of discrete Dirac operators on 3D cubic lattices. Journal of Mathematical Analysis and Applications 546 (2) , 129247. 10.1016/j.jmaa.2025.129247

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Abstract

We prove that the discrete Dirac operators in three dimensions converge to the continuum Dirac operators in the strong resolvent sense, but not in the norm resolvent sense.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	0022-247X
Date of First Compliant Deposit:	14 January 2025
Date of Acceptance:	10 January 2025
Last Modified:	16 Jan 2025 13:00
URI:	https://orca.cardiff.ac.uk/id/eprint/175256

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