Title:
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On integration in Banach spaces, XI. Integration with respect to polymeasures (English) |
Author:
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Dobrakov, Ivan |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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40 |
Issue:
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1 |
Year:
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1990 |
Pages:
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8-24 |
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Category:
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math |
. |
MSC:
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28B05 |
MSC:
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46G10 |
idZBL:
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Zbl 0793.28006 |
idMR:
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MR1032359 |
DOI:
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10.21136/CMJ.1990.102355 |
. |
Date available:
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2008-06-09T15:30:56Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/102355 |
. |
Reference:
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[1] Chang D. K., Rao M. M.: Bimeasures and sampling theorems for weakly harmonizable processes.Stochastic Anal. Appl. 1 (1983), 21-55. Zbl 0511.60034, MR 0700356, 10.1080/07362998308809003 |
Reference:
|
[2] Chang D. K., Rao M. M.: Bimeasures and nonstationary processes.Real and Stochastic Analysis, 7-118, Wiley Ser. Probab. Math. Statist., Wiley, New York, 1986. Zbl 0616.60009, MR 0856580 |
Reference:
|
[3] Diestel J., Uhl J. J.: Vector measures.Amer. Math. Soc. Surveys, No. 15, Providence, 1977. Zbl 0369.46039, MR 0453964 |
Reference:
|
[4] Diestel J.: Sequences and Series in Banach spaces.Graduate Texts in Mathematics 92, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1984. MR 0737004 |
Reference:
|
[5] Dobrakov I.: On integration in Banach spaces, I.Czech. Math. J. 20 (95), (1970), 511 - 536. Zbl 0215.20103, MR 0365138 |
Reference:
|
[6] Dobrakov I.: On integration in Banach spaces, II.Czech. Math. J. 20 (95), (1970), 680-695. Zbl 0224.46050, MR 0365139 |
Reference:
|
[7] Dobrakov I.: On integration in Banach spaces, III.Czech. Math. J. 29 (104), (1979), 478-499. Zbl 0429.28011, MR 0536071 |
Reference:
|
[8] Dobrakov I.: On integration in Banach spaces, IV.Czech. Math. J. 30 (105), (1980), 259-279. Zbl 0452.28006, MR 0566051 |
Reference:
|
[9] Dobrakov I.: On integration in Banach spaces,V.Czech.Math.J. 30 (105), (1980), 610-628. Zbl 0506.28004, MR 0592324 |
Reference:
|
[10] Dobrakov I., Morales P.: On integration in Banach spacees, VI.Czech. Math. J. 35 (110), (1985), 173-187. MR 0787123 |
Reference:
|
[11] Dobrakov I.: On integration in Banach spaces, VII.Czech. Math. J.38(113),(1988),434-449. Zbl 0674.28003, MR 0950297 |
Reference:
|
[12] Dobrakov I.: On integration in Banach spaces, VIII (Polymeasures).Czech. Math. J. 37 (112), (1987), 487-506. Zbl 0688.28002, MR 0904773 |
Reference:
|
[13] Dobrakov I.: On integration in Banach spaces, IX (Integration with respect to polymeasures).Czech. Math. J. 38 (113), (1988), 589-601. Zbl 0688.28003, MR 0962903 |
Reference:
|
[14] Dobrakov I.: On integration in Banach spaces, X (Integration with respect to polymeasures).Czech. Math. J. 38 (113), (1988), 713-725. Zbl 0688.28004 |
Reference:
|
[15] Dobrakov I.: Remarks on the integrability in Banach spaces.Math. Slovaca 36, 1986, 323-327. Zbl 0635.28005, MR 0866632 |
Reference:
|
[16] Dobrakov I.: On representation oflinear operators on $ХС\sb{0}(Т,X)$.Czech. Math. J. 21 (96), (1971), 13-30. MR 0276804 |
Reference:
|
[17] Dobrakov I.: On Lebesgue pseudonorms on $ХС\sb{0}(Т)$.Math. Slovaca 32, 1982, 327-333. MR 0676567 |
Reference:
|
[18] Dobrakov I.: Representation ofmultilinear operators on $ХС\sb{0}(Т\sb{i))$.Czech. Math. J. 39 (114), (1989),288-302. MR 0992135 |
Reference:
|
[19] Dobrakov I.: Representation ofmultilinear operators on $ХС\sb{0}(Т\sb{i}, X\sb{i})$.Atti Sem. Mat.Fis. Univ. Modena (to appear). |
Reference:
|
[20] Dobrakov I.: On extension of vector polymeasures.Czech. Math. J. 38 (113), (1988), 88-94. Zbl 0688.28005, MR 0925943 |
Reference:
|
[21] Dobrakov I.: On submeasures, I.Dissertationes Math. 112, Warszawa, 1974. Zbl 0292.28001, MR 0367140 |
Reference:
|
[22] Dobrakov I., Farková J.: On submeasures, II.Math. Slovaca 30, (1980), 65-81. MR 0568216 |
Reference:
|
[23] Jefferies B.: Radon polymeasures.Bull. Austral. Math. Soc. 32, (1985), 207-215. Zbl 0577.28002, MR 0815364, 10.1017/S0004972700009904 |
Reference:
|
[24] Kakihara Y.: A note on harmonizable and V-bounded processes.J. Multivariate Anal. 16, (1985), 140-156. Zbl 0561.60041, MR 0778493, 10.1016/0047-259X(85)90055-7 |
Reference:
|
[25] Kakihara Y.: Some remarks on Hilbert space valued stochastic processes.Research Activities7,(1985),9-17. MR 0862075 |
Reference:
|
[26] Kakihara Y.: Strongly and weakly harmonizable stochastic processes of H-valued random variables.J. Multivariate Anal. 18, (1986), 127-137. Zbl 0589.60034, MR 0827173, 10.1016/0047-259X(86)90064-3 |
Reference:
|
[27] Katsaras A. K.: Bimeasures on topological spaces.Glasnik Matematički 20 (40), (1985), 35-49. Zbl 0587.28009, MR 0818611 |
Reference:
|
[28] Kluvánek I.: Remarks on bimeasures.Proc. Amer. Math. Soc. 81 (1981), 233 - 239. MR 0593464, 10.2307/2044201 |
Reference:
|
[29] Merzbach E., Zakai M.: Bimeasures and measures induced by planar stochastic integrators.J. Multivariate Anal. 19, (1986), 67-87. MR 0847574, 10.1016/0047-259X(86)90094-1 |
Reference:
|
[30] Morse M.: Bimeasures and their integral extensions.Ann. Mat. Pura Appl. (4) 39, (1955), 345-356. Zbl 0066.04202, MR 0075273, 10.1007/BF02410778 |
Reference:
|
[31] Morse M., Transue W.: Integral representations ofbilinear functionals.Proc. Nat. Acad. Sci. U.S.A. 35, 1949, 136-143. MR 0029478, 10.1073/pnas.35.3.136 |
Reference:
|
[32] Morse M., Transue W.: C-bimeasures A and their superior integrals A*.Rend. Circ. Mat. Palermo, (2) 4, (1955), 270-300. MR 0086115, 10.1007/BF02854200 |
Reference:
|
[33] Morse M., Transue W.: C-bimeasures A and their integral extensions.Ann. of Math. (2) 64, (1956), 480-504. MR 0086116, 10.2307/1969597 |
Reference:
|
[34] Morse M., Transue W.: The representation ofa bimeasure on a rectangle.Proc. Nat.Acad. Sci. U.S.A., 42, (1956), 89-95. MR 0075274, 10.1073/pnas.42.2.89 |
Reference:
|
[35] Niemi H.: On the support of a bimeasure and orthogonally scattered vector measures.Ann. Acad. Sci. Fenn. Ser. A I Math. 7 (1975), no. 2, 249-275. Zbl 0327.28009, MR 0399410, 10.5186/aasfm.1975.0114 |
Reference:
|
[36] Rao M. M.: Harmonizable processes: Structure theory.L'Einseignement math., $II^e$ sér. 28, fasc. 3-4, 1982. Zbl 0501.60046, MR 0684239 |
Reference:
|
[37] Thomas E.: L'intégration par rapport a une mesure de Radon vectorielle.Ann. Inst. Fourier Grenoble, 20, (1970), 55-191. Zbl 0195.06101, MR 0463396, 10.5802/aif.352 |
Reference:
|
[38] Ylinen K.: Fourier transforms of noncommutative analogues of vector measures and bimeasures with applications to stochastic processes.Ann. Acad. Sci. Fenn. Ser. A I, 7, (1975),355-385. Zbl 0326.43009, MR 0399755 |
Reference:
|
[39] YIinen K.: On vector bimeasures.Annali Mat.Pura Appl. (4) 777, (1978), 115-138. MR 0515957 |
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