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Product of dominated vector measures. (English) Zbl 0354.28004

MSC:
28A35 Measures and integrals in product spaces
46G10 Vector-valued measures and integration
28B05 Vector-valued set functions, measures and integrals
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References:
[1] BARTLE R. G.: A general bilinear vector integral. Studia Math. 15, 1956, 337-352. · Zbl 0070.28102
[2] DEBIEVE C.: Produit de mesures a valeurs vectorielles. Theoreme de Fubini, Ann. Soc. Sci. Brux. T. 87, I, 1973, 67-76. · Zbl 0254.28015
[3] DINCULEANU N.: Vector measures. Berlin 1966. · Zbl 0142.10502
[4] DOBRAKOV I.: On integration in Banach spaces I. Czechosl. Math. Journal, 20, 1970, 511-536. · Zbl 0215.20103
[5] DUCHOŇ M.: On the projective tensor product of vector-valued measures II. Mat. Čas. 19, 1969, 228-234. · Zbl 0188.20602
[6] DUCHOŇ M.: A dominancy of vector-valued measures. Bull. Pol. Sci., 19, 1971, 1085-1091. · Zbl 0242.28009
[7] DUCHOŇ M.: A convolution algebra of vector-valued measures on compact abelian semigroup. Rev. Roum. Math. Pures et Appl. 16, 1971, 1467-1476. · Zbl 0245.28006
[8] DUCHOŇ M.: Fubini’s theorem and convolution of vector-valued measures. Mat. Čas. 23, 1973, 170-178.
[9] HUNEYCUTT J. E., Jr.: Products and convolutions of vector valued set functions. Studia Math. 41, 1972, 119-129. · Zbl 0233.28013
[10] SWARTZ C.: The product of vector-valued measures. Bull. Australian Math. Soc. 8, 1973, 359-366. · Zbl 0248.28009
[11] SWARTZ C.: A generalization of a theorem of Duchon on products of vector measures. Journal Math. Anal. And Appl. 51, 1975, 621-628. · Zbl 0312.28015
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