Characterization and order properties of pseudo-integral operators

DOI10.2140/PJM.1982.99.145zbMath0508.47032OpenAlexW2082498610MaRDI QIDQ1837910

Ahmed Ramzi Sourour

Publication date: 1982

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1982.99.145

zbMATH Keywords

order idealstandard Borel spaceorder continuous operatorsdisintegrated kernelpseudo-integral operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (4)

Decomposition and representation of regular operators ⋮ On the Representation of Order Continuous Operators by Random Measures ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Pseudointegral operators in the spaces of measurable vector-valued functions

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