Multivariable Wiener-Hopf operators II. Spectral topology and solvability
type: Item
instance of: scholarly article
title: Multivariable Wiener-Hopf operators II. Spectral topology and solvability
zbMATH Open document ID: 0633.47015
DOI: 10.1007/BF01201152
author: Alexander Dynin
published in: Integral Equations and Operator Theory
publication date: 1987-01-01T00:00:00Z
review text: The \(C^*\)-algebras generated by Wiener-Hopf operators on tangible closed cones are solvable: they have finite composition series of ideals with subquotients which are homogeneous \(C^*\)-algebras with continuous trace. In particular this refers to cones with piecewise smooth boundary and to cones which are finite sets of orbits under some linear action. [For part I see ibid. 9, 537-556 (1986; Zbl 0607.47021).]
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 4030298
zbMATH Keywords: multivariable Wiener-Hopf operators
zbMATH Keywords: \(C^ *\)-algebras generated by Wiener-Hopf operators on tangible closed cones are solvable
zbMATH Keywords: finite composition series of ideals
zbMATH Keywords: subquotients
zbMATH Keywords: homogeneous \(C^ *\)-algebras with continuous trace
MaRDI profile type: Publication
cites work: Tangible convex bodies. Appendix to ''Multivariable Wiener-Hopf operators. I''
cites work: The structure of algebras of operator fields
cites work: Induced representations and Banach \(^*\)-algebraic bundles. With an appendix due to A. Douady and L. Dal Soglio-Herault
cites work: Q5526485
cites work: Continuous selections. II
description: scientific article; zbMATH DE number 4030298