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Dobrakov, Ivan

On integration in Banach spaces. III. (English) Zbl 0429.28011

Czech. Math. J. 29(104), 478-499 (1979).
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scan of Zbl 0429.28011

Cited in 5 Reviews
Cited in 18 Documents

MSC:

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

Keywords:

operator valued measure; Fubini’s theorem

Citations:

Zbl 0224.46050
Cite Review PDF
Full Text: DOI EuDML

References:

[1] Alo R. A., de Korvin A.: A one-sided Fubini theorem for Gowurin measures. J. Math. Anal Appl. 38 (1972), 387-398. · Zbl 0226.46046 · doi:10.1016/0022-247X(72)90097-2
[2] Bagby R., Swartz C.: Projective tensor product of \(l^{p}\)-valued measures. Mat. Čas. 25 (1975), 256-269. · Zbl 0306.46060
[3] Bartle R. G.: A general bilinear vector integral. Studia Math. 15 (1956), 337-352. · Zbl 0070.28102
[4] Debieve C: Produit de mesures a valeurs vectorielles, Théorème de Fubini. Ann. Soc. Sci. Brux. T. 87, I (1973), 67-76. · Zbl 0254.28015
[5] Dinculeanu N.: Integration on locally compact spaces. Noordhoff International Publishing, Leyden, 1974. · Zbl 0284.28003
[6] Dobrakov I.: On integration in Banach spaces, I. Czech. Math. J. 20 (1970), 511 - 536. · Zbl 0215.20103
[7] Dobrakov I.: On integration in Banach spaces, II. Czech. Math. J. 20 (1970), 680-695. · Zbl 0224.46050
[8] Dobrakov I.: On representation of linear operators on \(C_{0}(T, X)\). Czech. Math. J. 21 (1971), 13-30. · Zbl 0225.47018
[9] Dobrakov I.: Products of operator valued measures and the Fubini theorem. Abstracts of the Fourth Prague Topological Symposium, 1976.
[10] Duchoň M., Kluvánek I.: Inductive tensor product of vector-valued measures. Mat. Čas. 17 (1967), 108-112. · Zbl 0162.19101
[11] Duchoň M.: On the projective tensor product of vector-valued measures, I, II. Mat. Čas. 17 (1967), 113-120, 19 (1969), 228-234. · Zbl 0162.19102
[12] Duchoň M.: On tensor product of vector measures in locally compact spaces. Mat. Čas. 19 (1969), 324-329. · Zbl 0187.00901
[13] Duchoň M.: On vector measures in Cartesian products. Mat. Čas. 21 (1971), 241 - 247.
[14] Duchoň M.: A convolution algebra of vector-valued measures on compact abelian semigroup. Rev. Roumaine Math. Pures Appl. 16 (1971), 1467-1476. · Zbl 0245.28006
[15] Duchoň M.: Fubini’s theorem and convolution of vector-valued measures. Mat. Čas. 23 (1973), 170-178.
[16] Duchoň M.: Product of dominated vector measures. Math. Slovaca 27 (1977), 293-301. · Zbl 0354.28004
[17] Dudley R., Pakula L.: A counter-example on the inner product of measures. Indiana Univ. Math. J. 21 (1972), 843-845. · Zbl 0221.28003 · doi:10.1512/iumj.1972.21.21067
[18] Dudley R. M.: A note on products of spectral measures. Vector and operator valued measures and applications. Academic Press, 1973, 125-126.
[19] Dunford N., Schwartz J.: Linear operators, part I. Interscience Publishers, New York 1958. · Zbl 0084.10402
[20] 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
[21] Halmos P. R.: Measure theory. D. Van Nostrand, New York 1950. · Zbl 0040.16802
[22] Hille E., Phillips R.: Functional analysis and semigroups. Amer. Math. Soc. Coll. Publ., Providence 1957. · Zbl 0078.10004
[23] Huneycutt J. E., Jr.: Products and convolutions of vector valued set functions. Studia Math. 41 (1972). · Zbl 0233.28013
[24] Kelley J. L., Srinivasan T. P.: On the Bochner integral. in Vector and operator valued measures and applications. Academic Press, Inc., New York 1973, 165-174. · Zbl 0293.28010
[25] Kluvánek I.: An example concerning the projective tensor product of vector-valued measures. Mat. Čas. 20 (1970), 81-83.
[26] Maynard H. B.: A general Radon-Nikodym theorem. in Vector and operator valued measures and applications, Academic Press, Inc., New York 1973, 233 - 246. · Zbl 0301.28006
[27] Millington H.: Products of group-valued measures. Studia Math. 54 (1975), 7-27. · Zbl 0325.28010
[28] Rao M. B.: Countable additivity of a set function induced by two vector-valued measures. Indiana Univ. Math. J. 21 (1972), 847-848. · Zbl 0239.28002 · doi:10.1512/iumj.1972.21.21068
[29] Swartz C.: The product of vector-valued measures. Bull. Australian Math. Soc. 8 (1973), 359-366. · Zbl 0248.28009 · doi:10.1017/S0004972700042659
[30] Swartz C.: A generalization of a theorem of Duchon on products of vector measures. J. Math. Anal. Appl. 51 (1975), 621-628. · Zbl 0312.28015 · doi:10.1016/0022-247X(75)90112-2
[31] Swartz C.: Products of vector measures by means of Fubini’s theorem. Math. Slovaca 27(1977), 375-382. · Zbl 0373.28004
[32] Thomas E.: L’intégration par rapport a une mesure de Radon vectorielle. Ann. Inst. Fourier, Grenoble, 20 (1970), 59 L89. · Zbl 0195.06101 · doi:10.5802/aif.352
[33] Thomas E.: Totally summable functions with values in locally convex spaces. Measure theory. Lecture Notes in Math. 541, Springer-Verlag, Berlin 1976, 117-131. · Zbl 0357.46050
[34] White A. J.: Convolution of vector measures. Proc. Royal Soc. Edinburg, Ser. A 73 (1975), 117-135. · Zbl 0331.43002
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