On the structure of the essential spectrum of elliptic operators on metric spaces

DOI10.1016/J.JFA.2010.12.025zbMath1242.47052arXiv1003.3454OpenAlexW2963047005MaRDI QIDQ630783

Vladimir Georgescu

Publication date: 21 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3454

zbMATH Keywords

\(C^*\)-algebrametric spaceessential spectrumspectral analysispseudodifferential operator

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Analysis on metric spaces (30L99)

Related Items (15)

A general Simonenko local principle and Fredholm condition for isotypical components ⋮ Limit operators techniques on general metric measure spaces of bounded geometry ⋮ Localization results for zero order pseudodifferential operators ⋮ Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators ⋮ The essential spectrum of the discrete Laplacian on Klaus-sparse graphs ⋮ Relative commutant pictures of Roe algebras ⋮ Exhaustive families of representations of \(C^{\ast}\)-algebras associated with \(N\)-body Hamiltonians with asymptotically homogeneous interactions ⋮ On the essential spectrum of phase-space anisotropic pseudodifferential operators ⋮ Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians ⋮ On the essential spectrum of elliptic differential operators ⋮ Limit operator theory for groupoids ⋮ A metric approach to limit operators ⋮ Eigenfunctions growth of \(\mathcal{R}\)-limits on graphs ⋮ Quasi-locality and property A ⋮ Inverse-closed algebras of integral operators on locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectral analysis of quantum field Hamiltonians
• On the spectral analysis of many-body systems
• Decomposing the essential spectrum
• Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field)
• \(C^*\)-algebras and controlled topology
• The coarse Baum-Connes conjecture and groupoids
• Counterexamples to the Baum-Connes conjecture
• Band-dominated Fredholm operators on discrete groups
• Crossed products of \(C^\ast\)-algebras and spectral analysis of quantum Hamiltonians
• Fredholm indices of band-dominated operators
• Limit operators and their applications in operator theory
• Ideal structure of uniform Roe algebras of coarse spaces
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Remarks on ghost projections and ideals in the Roe algebras of expander sequences
• The essential spectrum of Schrödinger, Jacobi, and CMV operators
• Ghost ideals in uniform Roe algebras of coarse spaces
• Remarks on Yu’s ‘property A’ for discrete metric spaces and groups
• Limit operators, collective compactness, and the spectral theory of infinite matrices
• Graded C*-algebras in the N-body problem
• SELF-ADJOINT OPERATORS AFFILIATED TO C*-ALGEBRAS
• LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.

This page was built for publication: On the structure of the essential spectrum of elliptic operators on metric spaces