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Strong sequential completeness of the natural domain of a conditional expectation operator in Riesz spaces

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Publication:4621369
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DOI10.1090/proc/14341zbMath1419.46005arXiv1803.08538OpenAlexW2963277113WikidataQ129367377 ScholiaQ129367377MaRDI QIDQ4621369

Wen-Chi Kuo, David F. Rodda, Bruce Alastair Watson

Publication date: 12 February 2019

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

Full work available at URL: https://arxiv.org/abs/1803.08538

zbMATH Keywords

strong completenessRiesz spacesconditional expectation operators


Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40)




Cites Work

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  • \(L^p\)-spaces with respect to conditional expectation on Riesz spaces
  • The Itô integral for Brownian motion in vector lattices. I
  • Convergence in Riesz spaces with conditional expectation operators
  • Discrete stochastic integration in Riesz spaces
  • The order convergence structure
  • Martingales in Banach lattices
  • On order convergence of nets
  • Characterizations of conditional expectation-type operators
  • Mixing inequalities in Riesz spaces
  • Conditional expectations on Riesz spaces
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