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5. Properties of subspaces of the space of affine functions.

Author

Ustinov, G.

Abstract

Conditions are presented for weak (strong) convergence, in the entire space A(x), of a sequence of positive operators to a fixed operator S on the basis of its weak (strong) convergence to S in a subspace. The criterion of Bauer's simplex is presented. [ABSTRACT FROM AUTHOR]

Published
1975
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6. On complemented subspaces of simplex spaces.

Author

Ustinov, G.

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(Γ), is given. [ABSTRACT FROM AUTHOR]

Published
1974
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