On complemented subspaces of simplex spaces

G. M. Ustinov

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR

Abstract: Jellett's theorem about the resolution of the space, $A(X)$ of continuous affine functions on a compact ahoquet simplex X into a direct sum is generalized to simplex spaces. A new characteristic property of the space $A(X)$, dual to $l^1(\Gamma)$, is given.

UDC: 513.88

Received: 30.11.1973

 English version: Mathematical Notes, 1974, 16:5, 1044–1049

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