Two classical extensions of the vector lattice of continuous functions

DOI10.1007/BF01077843zbMath0571.46017MaRDI QIDQ1061975

Valeriy K. Zakharov

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Lebesgue decompositionBorel extensioncategory of vector-lattice extensionssecond dual extension

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) Algebraic properties of function spaces in general topology (54C40) Lattices of continuous, differentiable or analytic functions (46E05)

Cites Work

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