Continuity of translation operators

DOI10.1090/S0002-9939-2011-10862-1zbMath1234.26022arXiv1011.0212OpenAlexW2963092618MaRDI QIDQ3103277

Justin R. Peters, Krishna B. Athreya

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0212

zbMATH Keywords

Radon measureLebesgue measuretranslation operatorequivalent measuresinvariance of \(L^p\) spaces under translationquasi-translation-invariant measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Integration with respect to measures and other set functions (28A25) Classical Banach spaces in the general theory (46B25) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Measurable group actions (22F10)

Related Items (1)

Local characteristics and tangency of vector-valued martingales

Cites Work

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• On the isometries of certain function-spaces
• Semigroups of linear operators and applications to partial differential equations
• Der Maßbegriff in der Theorie der kontinuierlichen Gruppen
• On the equivalence of the properties of quasi-translation invariance and absolute continuity of measures on a locally compact abelian group

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