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Daniell-Loomis integrals

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Publication:1265152
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DOI10.1216/RMJM/1181071861zbMath0911.28011OpenAlexW2041364043MaRDI QIDQ1265152

Hans F. Günzler, Manuel Díaz-Carrillo

Publication date: 26 April 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-4/CONT27-4/CONT27-4.html


zbMATH Keywords

convergence theoremsBourbaki integralabstract Riemann-Loomis integralLoomis integral


Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)


Related Items (2)

Local and improper Daiell-Loomis integrals ⋮ Abstract Riemann integrability and measurability




Cites Work

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  • Summable and integrable functions with respect to any Loomis-system
  • On the summability of certain \(\mu\)-integrable functions
  • Integralerweiterungen mittels Normen
  • Linear functionals which are integrals
  • Lokale Integralnomen und verallgemeinerte uneigentliche Riemann-Stieltjes-Integrale.
  • The Daniell-Bourbaki Integral for Finitely Additive Measures
  • Linear Functionals and Content




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