Form equivalence class Howard-Rubin Number: 372
Statement:
Generalized Sandwich Theorem: For every real vector space \(X\) and every Dedekind complete ordered vector space \((Z,\preccurlyeq)\), if \(e: X\to Z\) is a concave function, \(g: X\to Z\) is a convex function, and \(e\le g\) everywhere on \(X\), then there exists an affine function \(f: X \to Z\) satisfying \(e \le f \le g\) everywhere on \(X\). \ac{Schechter} \cite{1996b}.
Howard-Rubin number: 372 D
Citations (articles):
Connections (notes): Note [31]
Definitions for forms [14 W], [70 A], [52 H] through [52 L], Form 372 and [372 A] through [372 D] .These are modifications of definitions from Schechter [1996a] and Schechter [1996b].
References (books):
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