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Integrability for the Dobrakov integral. (English) Zbl 0506.28005


MSC:

28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration

Citations:

Zbl 0215.201
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Full Text: EuDML

References:

[1] R. Bartle A.: General bilinear vector integral. Studia Math., 15 (1956), 337-352. · Zbl 0070.28102
[2] J. K. Brooks: On the Gelfand-Pettis integral and unconditionally convergent series. Bull. Polish. Acad. Sci. 17 (1969), 809-813. · Zbl 0205.13402
[3] J. K. Brooks: Representation of weak and strong integrals in Banach spaces. Proc. Nat. Acad. Sci. U.S.A. 63 (1969), 266-270. · Zbl 0186.20302
[4] S. D. Chatterji: Sur l’integrabilité de Pettis. Math. Zeit., 136 (1974), 53-58. · Zbl 0264.28007
[5] J. Diestel, J. J. Uhl: Vector measures. Amer. Math. Soc., Math. Surveys *15, 1977. · Zbl 0369.46039
[6] I. Dobrakov: On representation of linear operators on \(C_0 (T, X)\). Czech. Math. J., 21 (1971), 13-30. · Zbl 0225.47018
[7] I. Dobrakov: On integration in Banach spaces I. Czech. Math. J., 20 (1970), 511-536. · Zbl 0215.20103
[8] I. Dobrakov: On integration in Banach spaces II. Czech. Math. J., 20 (1970), 680-695. · Zbl 0224.46050
[9] N. Dunford, J. Schwartz: Linear operators. Interscience, N.Y., 1958. · Zbl 0084.10402
[10] H. Garnir M. de Wilde, J. Schmets: Analyse Fonctionelle II. Birkhäuser Verlag, 1972.
[11] D. Lewis: Integration with respect to vector measures. Pacific J. Math., 33 (1970), 157-165. · Zbl 0195.14303
[12] D. Lewis: On integrability and summability in vector spaces. Illinois J. Math., 16 (1972), 294-307. · Zbl 0242.28008
[13] C. Swartz: Integration with respect to vector measures. Bull. Royal Soc. Liège, 45 (1976), 76-79. · Zbl 0328.46040
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