The injection and the projection theorem for spectral sets

DOI10.1007/BF01442482zbMath0458.43009MaRDI QIDQ1151548

Wilfried Hauenschild, Jean Ludwig

Publication date: 1981

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178040

zbMATH Keywords

injection of spectral setsprojection of spectral sets

Mathematics Subject Classification ID

Spectral synthesis on groups, semigroups, etc. (43A45) Group algebras of locally compact groups (22D15)

Related Items (16)

Harmonic analysis and spectral synthesis in central hypergroups ⋮ Spectral synthesis for coadjoint orbits of nilpotent Lie groups ⋮ A restriction theorem for ideals in the Schwartz algebra of a nilpotent Lie group ⋮ On L¹-kernels of unitary representations of semisimple Lie groups ⋮ On primary ideals in group algebras ⋮ L 1-determined ideals in group algebras of exponential Lie groups ⋮ On the mathematical work of Hans Reiter ⋮ Flat orbits and kernels of irreducible representations of the group algebra of a completely solvable Lie group ⋮ Flat orbits, minimal ideals and spectral synthesis ⋮ Complemented *-primitive ideals in \(L^ 1\)-algebras of exponential Lie groups and of motion groups ⋮ Ideal structure of Beurling algebras on [FC-groups] ⋮ On bounded approximate units in ideals of group algebras ⋮ On the spectral synthesis problem for points in the dual of a nilpotent Lie group ⋮ The projection theorem for spectral sets ⋮ Spectral synthesis and topologies on ideal spaces for Banach \(^{*}\)-algebras ⋮ Prime ideals in the \(C^*\)-algebra of a nilpotent group

Cites Work

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• Ideale mit beschränkter approximativer Eins in Gruppenalgebren von Moore-Gruppen
• Subhypergroups and normal subgroups
• Zur Idealtheorie in Gruppenalgebren von \([\text{FIA}^-_B\)-Gruppen]
• Classes of nonabelian, noncompact, locally compact groups
• A class of symmetric and a class of Wiener group algebras

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