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A generalization of a theorem of Duchon on products of vector measures. (English) Zbl 0312.28015

##### MSC:
 28B05 Vector-valued set functions, measures and integrals 46G10 Vector-valued measures and integration 28A35 Measures and integrals in product spaces
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##### References:
 [1] Bartle, R, A general bilinear vector integral, Studia math., 15, 337-352, (1956) · Zbl 0070.28102 [2] Batt, J, Applications of the orlicz—pettis theorem to operator-valued measures and compact and weakly compact transformations on the space of continuous functions, Rev. roumaine math. pures appl., 15, 907-935, (1969) · Zbl 0189.43001 [3] Brooks, J, On the existence of a control measure for strongly bounded vector measures, Bull. amer. math. soc., 77, 999-1001, (1971) · Zbl 0229.28008 [4] Dinculeanu, N, Vector measures, (1966), Pergamon Press Berlin · Zbl 0142.10502 [5] Dinculeanu, N; Kluvanek, I, On vector measures, (), 505-512 · Zbl 0195.34002 [6] Dobrakov, I, On integration in Banach spaces I, Czechoslovak math. J., 20, 511-536, (1970) · Zbl 0215.20103 [7] Duchon, M, On the projective tensor product of vector-valued measures, Mat. casopis sloven. akad. vied., 17, 113-120, (1967) · Zbl 0162.19102 [8] Duchon, M, On the projective tensor product of vector-valued measures II, Mat. časopis sloven. akad. vied., 19, 228-234, (1969) · Zbl 0188.20602 [9] Duchon, M, A dominancy of vector-valued measures, Bull. acad. polon. sci., 19, 1085-1091, (1971) · Zbl 0242.28009 [10] Duchon, M; Kluvanek, I, Inductive tensor product of vector-valued measures, Mat. časopis sloven. akad. vied., 17, 108-112, (1967) · Zbl 0162.19101 [11] Dudley, R.M; Pakula, L, A counter-example on the inner product of measures, Indiana univ. math. J., 21, 843-845, (1972) · Zbl 0221.28003 [12] Dunford, N; Schwartz, J, Linear operators, (1958), Interscience New York [13] Garnir, H.G; deWilde, M; Schmets, J, Analyse functionnelle I, (1968), Birkhäuser Verlag [14] Kakutani, S, An example concerning uniform boundedness of spectral measures, Pacific J. math., 4, 363-372, (1954) · Zbl 0056.34702 [15] Kluvanek, I, An example concerning the projective tensor product of vector measures, Mat. časopis sloven. akad. vied., 20, 81-83, (1970) · Zbl 0199.20501 [16] Kluvanek, I; Kovarikova, M, Product of spectral measures, Czechoslovak math. J., 17, 248-255, (1967) · Zbl 0159.19603 [17] Rao, M.B, Countable additivity of a set function induced by two vector-valued measures, Indiana univ. math. J., 21, 847-848, (1972) · Zbl 0239.28002 [18] Swartz, C, The product of vector-valued measures, Bull. Australian math. soc., 8, 359-366, (1973) · Zbl 0248.28009 [19] Treves, F, Topological vector spaces, distributions and kernels, (1967), Academic Press New York · Zbl 0171.10402 [20] Tweddle, I, Vector-valued measures, (), 469-489 · Zbl 0189.44903
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