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Decomposition and representation of regular operators

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Publication:916997
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DOI10.1007/BF00971390zbMath0704.47029OpenAlexW2039727674MaRDI QIDQ916997

I. I. Shamaev

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971390


zbMATH Keywords

integral operatorpositive operatoratomic operatorcontinually-singular operatordecomposition of the regular operatorK-spacesRiesz spaces of functionsthree main disjunctive constituents of the Stone compact


Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65)


Related Items

Diffuse and atomic components of a positive operator



Cites Work

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  • Characterization and order properties of pseudo-integral operators
  • Measurable sets of measures
  • On the Representation of Order Continuous Operators by Random Measures
  • Stone-Algebra-Valued Measures and Integrals
  • An Algebraic Characterization of Vector Lattices with the Borel Regularity Property
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