Extreme cases of limit operator theory on metric spaces

DOI10.1007/s00020-018-2498-7OpenAlexW2883531253WikidataQ128848932 ScholiaQ128848932MaRDI QIDQ1727965

Jiawen Zhang

Publication date: 21 February 2019

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09473

zbMATH Keywords

band-dominated operatorsproperty Alimit operators

Mathematics Subject Classification ID

Noncommutative topology (46L85) (Semi-) Fredholm operators; index theories (47A53) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Analysis on metric spaces (30Lxx)

Related Items (5)

A quasi-local characterisation of \(L^{p}\)-Roe algebras ⋮ Limit operators techniques on general metric measure spaces of bounded geometry ⋮ Limit operator theory for groupoids ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras ⋮ Quasi-locality and property A

Cites Work

• Metric sparsification and operator norm localization
• Property \(A\) and \(\text{CAT}(0)\) cube complexes.
• Noether property for multidimensional discrete convolution operators
• Fredholm theory and finite section method for band-dominated operators
• Relative commutant pictures of Roe algebras
• Band-dominated Fredholm operators on discrete groups
• Fredholm indices of band-dominated operators
• Limit operators and their applications in operator theory
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• An affirmative answer to a core issue on limit operators
• Quasi-locality and property A
• The Novikov conjecture for linear groups
• Fredholm theory for band-dominated and related operators: a survey
• A metric approach to limit operators
• Limit operators, collective compactness, and the spectral theory of infinite matrices
• The Finite Section Method in the Space of Essentially Bounded Functions: An Approach Using Limit Operators
• Hyperbolic groups have finite asymptotic dimension
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