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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.
Received: 30.11.1973
Citation:
G. M. Ustinov, “On complemented subspaces of simplex spaces”, Mat. Zametki, 16:5 (1974), 751–761; Math. Notes, 16:5 (1974), 1044–1049
Linking options:
https://www.mathnet.ru/eng/mzm7514 https://www.mathnet.ru/eng/mzm/v16/i5/p751
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