Continuity of operators commuting with translations for compact groups

DOI10.1007/BF01300918zbMath0685.43001MaRDI QIDQ1826063

Jarosław Krawczyk

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/178416

zbMATH Keywords

Fourier transformcompact groupFrechet spacesmean zero weak containment propertyoperator commuting with translationstranslation invariant linear functional

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Character groups and dual objects (43A40)

Related Items (2)

A remark on continuity of translation invariant functionals on \(L_ p(G)\) for compact Lie groups G ⋮ Uniqueness of translation invariant norms

Cites Work

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• Finitely additive measures on \(S^ 2\) and \(S^ 3\), invariant with respect to rotations
• Translation invariant forms on \(L^ p(G)\) \((1<p<\infty)\)
• Continuity of translation invariant linear functionals on \(C_ 0(G)\) for certain locally compact groups G
• For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• Continuity of Operators on L ₂ (G ) and L ₁ (G ) Commuting with Translations

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