On complemented subspaces of simplex spaces
Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 751-761
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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.
@article{MZM_1974_16_5_a8,
author = {G. M. Ustinov},
title = {On complemented subspaces of simplex spaces},
journal = {Matemati\v{c}eskie zametki},
pages = {751--761},
publisher = {mathdoc},
volume = {16},
number = {5},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a8/}
}
G. M. Ustinov. On complemented subspaces of simplex spaces. Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 751-761. http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a8/