Ideals of band-dominated operators

DOI10.1080/17476933.2021.1913134OpenAlexW3171504669MaRDI QIDQ5862386

Steffen Roch

Publication date: 9 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1913134

zbMATH Keywords

band-dominated operatorsslowly oscillating functionslimit operatorscentral ranks

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in ({}^*)-algebras (47C10)

Cites Work

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• Fredholm theory and finite section method for band-dominated operators
• Band-dominated Fredholm operators on discrete groups
• Limit operators and their applications in operator theory
• Ideal structure of uniform Roe algebras of coarse spaces
• Limit operators techniques on general metric measure spaces of bounded geometry
• An affirmative answer to a core issue on limit operators
• A metric approach to limit operators

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