On integration in Banach spaces, VIII. Polymeasures

Dobrakov, Ivan

Czechoslovak Mathematical Journal, Tome 37 (1987) no. 3, pp. 487-506

Détail

DOI : 10.21136/CMJ.1987.102173

Classification : 28B05, 46G10

Bibliographie

[1] Berg C., Christensen J., Ressel P.: Harmonic analysis on semigroups. Graduate Texts in Mathematics 100, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1984. | MR | Zbl

[2] Bessaga C., Pelczynski A.: On bases and unconditional convergence of series in Banach spaces. Studia Math. 17 (1958), 151-164. | DOI | MR | Zbl

13] Chang D. K., Rao M. M.: Bimeasures and sampling theorems for weakly harmonizable processes. Stochastic Anal. Appl. 1 (1983), 21 - 55. | MR

[4] Day M. M.: Normed linear spaces. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. | MR | Zbl

[5] Diestel J., Uhl J. J.: Vector measures. Amer. Math. Soc. Surveys, No. 15, Providence, 1977. | MR | Zbl

[6] Dinculeanu N.: Vector measures. VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. | MR | Zbl

[7] Dobrakov I.: On integration in Banach spaces, I. Czech. Math. J. 20 (95) (1970), 511-536. | MR | Zbl

[8] Dobrakov I.: On integration in Banach spaces, II. Czech. Math. J. 20 (95) (1970), 680-695. | MR | Zbl

[9] Dobrakov I.: On integration in Banach spaces, III. Czech. Math. J. 29 (104) (1979), 478-499. | MR | Zbl

[10] Dobrakov I.: On integration in Banach spaces, IV. Czech. Math. J. 30 (105) (1980), 259-279. | MR | Zbl

[11] Dobrakov I.: On integration in Banach spaces, V. Czech. Math. J. 30 (105) (1980), 610- 628. | MR | Zbl

[12] Dobrakov I., Morales P.: On integration in Banach spaces, VI. Czech. Math. J. 35 (110) (1985), 173-187. | MR | Zbl

[13] Dobrakov I.: On integration in Banach spaces, VII. Czech. Math. J. (to appear). | MR | Zbl

[14] Dobrakov I.: On extension of vector polymeasures. (to appear). | MR | Zbl

[15] Dobrakov I.: On representation of linear operators on $C_0$(T, X). Czech. Math. J. 21 (96) (1971), 13-30. | MR

[16] Dobrakov I.: On submeasures, I. Dissertationes Math. 112, Warszawa, 1974. | MR | Zbl

[17] Dobrakov I., Farková J.: On submeasures, II. Math. Slovaca 30 (1980), 65-81. | MR

[18] Dobrakov I.: Uniform boundedness principle for exhaustive set functions. Commentationes Math. 24 (1984), 201-205. | MR | Zbl

[19] Dobrakov I.: On extension of Baire submeasures. Math. Slovaca 35 (1985), 37-42. | MR | Zbl

[20] Duchoň M.: Vector measures in Cartesian products. Mat. čas. 21 (1971), 241-247. | MR

[21] Duchoň M.: Sesquiregular measures in product spaces and convolution of such measures. Mat. čas. 24 (1974), 31-42. | MR

[22] Dunford N., Schwartz J. T.: Linear operators, Part I. Intersicence, New York, 1958. | DOI

[23] Fichtenholz G.: Sur une fonction de deux variables sans intégrale double. Fund. Math. 6 (1924), 30-36.

[24] Gould G. K.: Integration over vector-valued measures. Proc. London Math. Soc. (3) 15 (1965), 193-225. | MR | Zbl

[25] Halmos P. R.: Measure theory. D. Van Nostrand, 1950. | MR | Zbl

[26] Hille E., Phillips R.: Functional analysis and semigroups. Amer. Math. Soc. Coll. Publ.,. Providence, 1957. | MR | Zbl

[27] Kakihara Y.: Hubert A-module valued measures and a Riesz type theorem. (unpublished). | DOI

[28] Kakihara Y.: A note on harmonizable and V-bounded processes. J. Multivariate Anal. 16 (1985), 140-156. | MR | Zbl

[29] Kluvánek I.: The extension and closure of vector measures. in: Vector and operator valued measures and applications. Edited by D. H. Tucker, H. B. Maynard, Academic Press, Inc., New York-London, 1973, 175-190. | DOI | MR

[30] Kluvánek L: Remarks on bimeasures. Proc. Amer. Math. Soc. 81 (1981), 233 - 239. | DOI | MR

[31] Kluvánek I.: Operator valued measures and perturbations of semigroups. Archive Rational Mech. Anal. 81 (1983), 161-180. | MR

[32] Marczewski E., Ryll-Nardzewski C.: Remarks on the compactness and non direct product of measures. Lund. Math. 40 (1953), 165-170. | DOI | MR

[33] Morse M.: Bimeasures and their integral extensions. Ann. Mat. Рuга Appl., (4) 39 (1955), 345-356. | DOI | MR | Zbl

[34] Morse M., Transue W.: Integral representations of bilinear functional. Proc. Nat. Acad. Sci. U.S.A., 35 (1949), 136-143. | DOI | MR

[35] Morse M., Transue W.: $C$-bimeasures $\Lambda$ and their superior integrals $\Lambda\sp *$. Rend, Circ. Mat. Palermo, (2) 4 (1955), 270-300. | DOI | MR

[36] Morse M., Transue W.: $C$-bimeasures $\Lambda$ and their integral extensions. Ann, of Math., (2) 64 (1956), 480-504. | DOI | MR

[37] Morse M., Transue W.: The representation of a bimeasure on a rectangle. Proc. Nat. Acad. Sci. U.S.A., 42 (1956), 89-95. | MR

[38] Pelczynski A.: On weakly compact polynomial operators on B-spaces with Dunford-Pettis property. Bull. Acad. Polon. Sci. Sér. sci. math. astr. et phys., 11 (1963), 371-378. | MR

[39] Rao M. M.: Harmonizable processes: Structure theory. L'Einseignement math., II sér. 28, fasc. 3-4, 1982. | DOI | MR | Zbl

[40] Thomas E.: L'inégration par rapport a une mesure de Radon vectorielle. Ann. Inst. Fourier (Grenoble), 20 (1970), 55-191. | MR

[41] Ylinen K.: On vector bimeasures. Annali Mat. Pura Appl. (4) 117 (1978), 115-138. | MR | Zbl

[42] Ylinen K.: Fourier transforms of noncommutative analogues of vector measures and bimeasures with applications to stochastic processes. Ann. Acad. Sci. Fennicae, Ser. A I, 1, 1975, 355-385. | MR | Zbl