Document Zbl 0238.46054

M-ideals in complex function spaces and algebras. (English) Zbl 0238.46054

Isr. J. Math. 12, 133-146 (1972).

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MSC:

46E15	Banach spaces of continuous, differentiable or analytic functions
46J10	Banach algebras of continuous functions, function algebras
46J20	Ideals, maximal ideals, boundaries

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References:

[1]	E. M. Alfsen,Compact convex sets and boundary integrals, Ergebnisse der Math., 57, Springer Verlag, 1971. · Zbl 0209.42601
[2]	E. M. Alfsen and E. Effros,Structure in real Banach spaces, Ann. of Math., to appear. · Zbl 0248.46019
[3]	Alfsen, E. M.; Hirsberg, B., On dominated extensions in linear subspaces of C_ℝ(X), Pacific J. Math., 36, 567-584 (1971) · Zbl 0228.46049
[4]	Asimov, L., Decomposable compact convex sets and peak sets for function spaces, Proc. Amer. Math. Soc., 25, 75-79 (1970) · Zbl 0192.46802 · doi:10.2307/2036529
[5]	Cunningham, F., L-structure in L-spaces, Trans. Amer. Math. Soc., 95, 274-299 (1960) · Zbl 0094.30402 · doi:10.2307/1993292
[6]	N. Dunford and J. Schwarz,Linear Operators, Part I, Interscience Publishers, New York.
[7]	Ellis, A. J., On split faces and function algebras, Math Ann., 195, 159-166 (1972) · Zbl 0215.48305 · doi:10.1007/BF01419623
[8]	T. W. Gamelin,Uniform algebras, Prentice Hall Series. · Zbl 0213.40401
[9]	B. Hirsberg,A measure theoretic characterization of parallel and split faces and their connections with function spaces and algebras, Univ of Århus, Math. Inst. Various Publication Series No. 16, 1970. · Zbl 0222.46025
[10]	B. Hirsberg,Note sur, les représentations intégrales des formes linéaires complexes, C. R. Acad. Sci., to appear. · Zbl 0232.28008
[11]	O. Hustad,A norm preserving complex Choquet Theorem, Math (Scand.29 (1971). · Zbl 0245.46031
[12]	Phelps, R. R., Lectures on Choquet’s theorem (1966), New York: Van Nostrand, New York · Zbl 0135.36203

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