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On Extensions of Monotone Functions from Linear SubLattices
Published online by Cambridge University Press: 20 November 2018
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In this note real valued functions, defined on a linear sublattice S of a linear lattice R and satisfying the two order conditions (M1) and (M2), are studied from the point of view of the existence and uniqueness of extensions to R. The paper is partly expository and supplements and extends §3 of [4] where S was assumed to be an ℓ-ideal.
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- Copyright © Canadian Mathematical Society 1965