On the symbol homomorphism of a certain Fréchet algebra of singular integral operators

DOI10.1007/BF01201707zbMath0578.47035MaRDI QIDQ1066455

Heinz-Otto Cordes, Elmar Schrohe

Publication date: 1985

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

zbMATH Keywords

singular integral operatorspseudo-differential operatorsFréchet topologyalgebra of convolution and multiplication operatorsSobolev norm topologyspace of symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Abstract operator algebras on Hilbert spaces (47L30) Integral operators (45P05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (5)

A \(\psi ^ *\) algebra of pseudodifferential operators on noncompact manifolds ⋮ The symbols of a Fréchet algebra of pseudodifferential operators on a polycylinder ⋮ Norm closure and extension of the symbolic calculus for the cone algebra ⋮ On the structure of the similarity orbits of Jordan operators as analytic homogeneous manifolds ⋮ Norm Closures of Operator Algebras with Symbolic Structure

Cites Work

• Unnamed Item
• Elliptic pseudo-differential operators - an abstract theory
• A version of Egorov's theorem for systems of hyperbolic pseudo- differential equations
• A \(\psi ^ *\) algebra of pseudodifferential operators on noncompact manifolds
• Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
• The index of elliptic operators. I
• On the boundedness of pseudo-differential operators
• Gel'Fand Theory of Pseudo Differential Operators

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