Norm closure and extension of the symbolic calculus for the cone algebra

DOI10.1007/BF00773405zbMath0843.46034MaRDI QIDQ1907146

Frank Mantlik

Publication date: 18 August 1996

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Fredholm propertycone algebraspectral invarianceholomorphic functional calculusmanifolds with singularitiesMellin symbol\(L_ 2\)-Sobolev spaces*-algebra of zero-order pseudodifferential operatorsFréchet\(^*\)-algebrassymbol homomorphism

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Pseudodifferential and Fourier integral operators on manifolds (58J40) General theory of topological algebras (46H05) Functional calculus in topological algebras (46H30) Topological algebras of operators (46H35) Pseudodifferential operators (47G30)

Related Items (7)

Complex Powers and Non-compact Manifolds ⋮ Homology of pseudodifferential operators on manifolds with fibered cusps ⋮ Single and double layer potentials on domains with conical points. I: Straight cones ⋮ On the existence and structure of \(\psi^*\)-algebras of totally characteristic operators on compact manifolds with boundary ⋮ A \(C^\star\) algebra of pseudodifferential operators on the half line ⋮ An Operator Theoretical Approach to Enveloping ϕ* - and C* - Algebras of Melrose Algebras of Totally Characteristic Pseudodifferential Operators ⋮ Norm Closures of Operator Algebras with Symbolic Structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An algebra of pseudo-differential operators with non-smooth symbol
• Elliptic pseudo-differential operators - an abstract theory
• Mellin representations of pseudo-differential operators on manifolds with corners
• The symbols of an algebra of pseudo-differential operators
• On the symbol homomorphism of a certain Fréchet algebra of singular integral operators
• Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• Tensor products, Fréchet-Hilbert complexes and the Künneth theorem
• The index of elliptic operators. I
• Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka's principle, K-theory and noncommutative dynamical systems)
• Gelfand Theory of Pseudo Differential Operators and Hypoelliptic Operators

This page was built for publication: Norm closure and extension of the symbolic calculus for the cone algebra