An Operator Theoretical Approach to Enveloping ϕ* - and C* - Algebras of Melrose Algebras of Totally Characteristic Pseudodifferential Operators
DOI10.1002/mana.19981960107zbMath0922.46046OpenAlexW1987037891MaRDI QIDQ4227964
Publication date: 14 October 1999
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19981960107
compact manifold with boundaryalgebras of pseudodifferential operatorstotally characteristic pseudodifferential operators\(\Psi^*\)-algebrasspectrally invariantopen group of invertible elementsFréchet subalgebrasMelrose algebra
Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Topological algebras of operators (46H35) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Linear operators in (C^*)- or von Neumann algebras (47C15)
Related Items (2)
Cites Work
- Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
- Analytic \(K\)-theory on manifolds with corners
- Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces
- On the index of elliptic operators on manifolds with boundary
- Norm closure and extension of the symbolic calculus for the cone algebra
- Banach algebras with an adjoint operation
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