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Exposed faces of dual cones and peak-set criteria for function spaces. (English) Zbl 0264.46021


MSC:

46B10 Duality and reflexivity in normed linear and Banach spaces
46J10 Banach algebras of continuous functions, function algebras
46E15 Banach spaces of continuous, differentiable or analytic functions
46E40 Spaces of vector- and operator-valued functions
46B99 Normed linear spaces and Banach spaces; Banach lattices
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References:

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[7] \( \textsc{E. Briem}CX\); \( \textsc{E. Briem}CX\) · Zbl 0245.46033
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[10] Ellis, A. J., On faces of compact convex sets and their annihilators, Math. Ann., 184, 19-24 (1969) · Zbl 0184.34403
[11] Gamelin, T. W., Uniform Algebras (1969), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0213.40401
[12] Jameson, G., Ordered Linear Spaces, (Lect. Notes No. 141 (1970), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0196.13401
[13] Grosberg, J.; Krein, M., Sur la décomposition des fonctionelles en composantes positives, C.R. (Dokl.) Acad. Sci. USSR, 25, 723-726 (1939) · Zbl 0022.35902
[14] Phelps, R. R., Lectures on Choquet’s Theorem (1966), van Nostrand: van Nostrand Princeton, NJ · Zbl 0135.36203
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