Dobrakov, Ivan On integration in Banach spaces. I. (English) Zbl 0215.20103 Czech. Math. J. 20(95), 511-536 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 54 Documents MSC: 46G10 Vector-valued measures and integration 46B03 Isomorphic theory (including renorming) of Banach spaces 28B05 Vector-valued set functions, measures and integrals Citations:Zbl 0224.46050; Zbl 0429.28011; Zbl 0452.28006; Zbl 0509.28004; Zbl 0628.28007; Zbl 0674.28003 PDFBibTeX XMLCite \textit{I. Dobrakov}, Czech. Math. J. 20(95), 511--536 (1970; Zbl 0215.20103) Full Text: EuDML References: [1] Bartle R. G.: A general bilinear vector integral. Studia Math. 15 (1956), 337-352. · Zbl 0070.28102 [2] Bartle R. G., Dunford N., Schwartz J.: Weak compactness and vector measures. Canadian J. Math. 7(1955), 289-305. · Zbl 0068.09301 [3] Batt J.: Integraldarstellungen linearer Transformationen und schwache Kompaktheit. Math. Annalen 174 (1967), 291-304. · Zbl 0157.21004 [4] Berberian S. K.: Measure and integration. Macmillan, New York, 1965. · Zbl 0126.08001 [5] Bessaga C., Pelczyňski A.: On bases and unconditional convergence of series in Banach spaces. Studia Math. 17 (1958), 151-164. · Zbl 0084.09805 [6] Dinculeanu N.: Vector measures. VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. · Zbl 0142.10502 [7] Dinculeanu N., Kluvánek I.: On vector measures. Proc. London Math. Soc. 17 (1967), 505-512. · Zbl 0195.34002 [8] Dobrakov I.: On integration in Banach spaces, II. Czech. Math. J. 20 (95) (1970). · Zbl 0224.46050 [9] Dobrakov I.: On representation of linear operators on \(C_{0} (T, X)\). Czech. Mat. J. · Zbl 0225.47018 [10] Dunford N., Schwartz J.: Linear operators, part I. Interscience, New York, 1958. [11] Gowurin M.: Über die Stieltjessche Integration abstrakter Funktionen. Fund. Math. 27 (1936), 255-268. · Zbl 0016.06104 [12] Halmos P. R.: Measure theory. D. Van Nostrand, New York 1950. · Zbl 0040.16802 [13] Hildebrandt T. H.: Integration in abstract spaces. Bull. Amer. Math. Soc. 59 (1953), 111-139. · Zbl 0051.04201 [14] Hille E., Phillips R.: Functional analysis and semigroups. Amer. Math. Soc. Coll. Publ., Providence, 1957. · Zbl 0078.10004 [15] Kluvánek I.: Some generalizations of the Riesz-Kakutani theorem. (Russian), Czech, Math. J. 13 (88), (1963), 89-113. [16] Kluvánek I.: On the theory of vector measures. (Russian), Mat.-fyz. časop. SAV, 11 (1961), 173-192. [17] Kluvánek I.: On the theory of vector measures II. (Russian), Mat.-fyz. časopis SAV, 16 (1966), 76-81. [18] Kluvánek I.: Characterization of Fourier-Stieltjes transforms of vector and operator valued measures. Czech. Math. J. 17 (92) (1967), 261-277. · Zbl 0177.18203 [19] Loeve M.: Probability theory. 2nd D. Van Nostrand New York, 1960. · Zbl 0095.12201 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.