Discontinuous translation-invariant linear forms on \(\mathcal K(G)\)

DOI10.1007/BF01351486zbMath0377.43002OpenAlexW2073332177MaRDI QIDQ1246698

Peter Dierolf, Susanna Dierolf, Walter Roelcke, Lilian Asam

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163218

Mathematics Subject Classification ID

Compact groups (22C05) General properties and structure of LCA groups (22B05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (5)

Discontinuous Translation Invariant Functionals ⋮ Translation-invariant linear forms on \({\mathcal E}'(G)\) and non-Liouville tuples on G ⋮ A remark on discontinuous translation invariant functionals on \(L_ p (G)\) for certain compact groups \(G\) ⋮ Translation invariant linear functionals on segal algebras ⋮ Translation-invariant linear forms on D(G)

Cites Work

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• Translation-invariant linear forms on C\(_0\)(G), C(G), L\(^p\)(G) for noncompact groups
• Translation-invariant linear forms and a formula for the Dirac measure
• Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
• Some discontinuous translation-invariant linear forms
• Discontinuous translation invariant linear functional on L¹(G)

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