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Dobrakov, Ivan

On integration in Banach spaces. IV. (English) Zbl 0452.28006

Czech. Math. J. 30(105), 259-279 (1980).
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Cited in 3 Reviews
Cited in 12 Documents

MSC:

28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration
28A35 Measures and integrals in product spaces

Keywords:

integration of Banach space-valued functions; vector-valued measures; diagonal convergence theorem; extended Lebesgue convergence theorem; integrals of unconditionally convergent series of functions and measures; double integrals

Citations:

Zbl 0429.28011
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\textit{I. Dobrakov}, Czech. Math. J. 30(105), 259--279 (1980; Zbl 0452.28006)
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References:

[1] Aleksjuk V. N.: On weak compactness of a set of quasimeasures. On connection between metrics and measure. (Russian), Sibirskij Mat. J. 11 (1970), 723-738.
[2] Bessaga C., Pelczyński A.: On bases and unconditional convergence of series in Banach spaces. Studia Math. 17 (1958), 151-164. · Zbl 0084.09805
[3] Brooks J. K., Jewett R. S.: On finitely additive vector measures. Proc. Nat. Acad. Sci. USA 67 (1970), 1294-1298. · Zbl 0216.09602 · doi:10.1073/pnas.67.3.1294
[4] Day M. M.: Normed linear spaces. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. · Zbl 0082.10603
[5] Dobrakov I.: On integration in Banach spaces, I. Czech. Math. J. 20 (95) (1970), 511-536. · Zbl 0215.20103
[6] Dobrakov I.: On integration in Banach spaces, II. Czech. Math. J. 20 (95) (1970), 680-695. · Zbl 0224.46050
[7] Dobrakov I.: On integration in Banach spaces, III. Czech. Math. J. 29 (104) (1979), 478 - 499. · Zbl 0429.28011
[8] Dobrakov I.: On representation of linear operators on \(C_0 (T, X)\). Czech. Math. J. 21 (96) (1971), 13-30. · Zbl 0225.47018
[9] Dobrakov I.: On submeasures, I. Dissertationes Mathematicae 112, Warszawa 1974, 1-40. · Zbl 0292.28001
[10] Dobrakov I., Farková J.: On submeasures, II. Math. Slovaca 30 (1980), 65 - 81. · Zbl 0428.28001
[11] Dunford N., Schwartz J. T.: Linear operators, Part I. Interscience, New York, 1958.
[12] Gould G. G.: Integration over vector-valued measures. Proc. London Math. Soc. (3) 15 (1965), 193-225. · Zbl 0138.38403 · doi:10.1112/plms/s3-15.1.193
[13] Halmos P. R.: Measure theory. D. Van Nostrand, New York, 1950. · Zbl 0040.16802
[14] Kelley J. L., Srinivasan T. P.: On the Bochner integral. Vector and operator valued measures and applications. Edited by Don H. Tucker and Hugh B. Maynard, Academic Press, Inc., New York, 1973, 165-174.
[15] Klimkin V. M.: Some questions of theory of vector-valued measures. (Russian) Izvestija Vyšš. Učeb. Zav. Matematika, 7 (158), (1975), 54-63,
[16] Semadeni Z.: Banach spaces of continuous functions. Vol. I, Monografie Mat. Tom 55, PWN Warszawa, 1971. · Zbl 0225.46030
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