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Riesz representation theorems for positive linear operators

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Publication:2147586
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DOI10.1007/s43037-022-00177-7OpenAlexW3157635123WikidataQ113890382 ScholiaQ113890382MaRDI QIDQ2147586

Xingni Jiang, M. F. E. de Jeu

Publication date: 20 June 2022

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12153


zbMATH Keywords

Riesz representation theoremmeasurepartially ordered vector spaceorder integral


Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Set functions, measures and integrals with values in ordered spaces (28B15)




Cites Work

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  • Positive representations of \(C_0(X)\). I
  • A note on measures with values in a partially ordered vector space
  • Lattice valued Borel measures
  • Order integrals
  • Vector lattice measures on locally compact spaces
  • The measure extension problem for vector lattices
  • Riesz Type Representation Theorems for Positive Operators
  • Lattice-Valued Borel Measures. II
  • Stone-Algebra-Valued Measures and Integrals
  • Measures with Values in a Partially Ordered Vector Space
  • \(C^*\)-algebras by example
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