| Title:
|
Products of vector measures by means of Fubini's theorem (English) |
| Author:
|
Swartz, Charles |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
27 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
375-382 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A35 |
| MSC:
|
28B05 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 0373.28004 |
| idMR:
|
MR536840 |
| . |
| Date available:
|
2009-09-25T08:52:05Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136157 |
| . |
| Reference:
|
[1] BAGBY R., SWARTZ C.: Projective tensoг product of lp-valued measuгes.Mat. Čas. 25, 1975, 256-269. MR 0412377 |
| Reference:
|
[2] BARTLE R.: A general bilinear vectoг integral.Studia Math. 15, 1956, 337-352. MR 0080721 |
| Reference:
|
[3] BATT J.: Applications of the Oгlicz-Pettis theorem to opeгator-valued measuгes and compact and weakly compact lineaг tгansformations on the space of continuous functions.Rev. Roum. Math. 14, 1969, 907-935. MR 0388158 |
| Reference:
|
[4] BERBERIAN S.: Notes on Spectral Theory.Van Nostгand, Princeton, N. J., 1966. Zbl 0138.39104, MR 0190760 |
| Reference:
|
[5] BROOKS J. K., LEWIS P.: Lineaг opeгatoгs and vector measures.Tгans. Ameг. Math. Soc. 190, 1974, 1-23. |
| Reference:
|
[6] DOBRAKOV I.: On integration in Banach spaces I.Czech. Math. J. 20, 1970, 511-536. Zbl 0215.20103, MR 0365138 |
| Reference:
|
[7] DOBRAКOV I.: On гepresentation of linear operatoгs on $C_0(T, X)$.Сzech. Math. J. 21, 1971, 13-30. MR 0276804 |
| Reference:
|
[8] DUСHOŇ M.: On vector measures in Сartesian products.Mat. Čas. 21, 1971, 241-247. MR 0310183 |
| Reference:
|
[9] DUСHOŇ M.: Тhe Fubini theorem and convolution of vector-valued measures.Mat. Čas. 23, 1973, 170-178. MR 0335739 |
| Reference:
|
[10] DUСHOŇ M.: On tensor product of vectoг measuгes in locally compact spaces.Mat. Čas. 19, 1969, 324-329. |
| Reference:
|
[11] DUСHOŇ M.: On the projective tensor product of vector-valued measures I, II.Mat. Čas. 17, 1967, 113-120; 19, 1969, 228-234. MR 0229787 |
| Reference:
|
[12] DUСHOŇ M., KLUVÁNEK I.: Inductive tensoг product of vector-valued measures.Mat. Čas. 17, 1967, 108-112. |
| Reference:
|
[13] DUDLEY R. M., PAKULA M.: A counter-example on the inner pгoduct of measures.Indiana Univ. Math. J. 21, 1972, 843-845. |
| Reference:
|
[14] DUNFORD N., SСHWARТZ J.: Lineaг Opeгators.Interscience, N.Y. 1958. |
| Reference:
|
[15] HOWARD J., MELENDEZ K.: Sufficient conditions for a continuous lineaг opeгator to be weakly compact.Bull. Austral. Math. Soc. 7, 1972, 183-190. MR 0344834 |
| Reference:
|
[16] KLUVÁNEK I.: An example concerning the projective tensor product of vectoг-valued measures.Mat. Čas. 20, 1970, 81-83. MR 0312263 |
| Reference:
|
[17] LEWIS D. R.: Integration with respect to vectoг measuгes.Pacific J. Math. 33, 1970,157-165. MR 0259064 |
| Reference:
|
[18] PELСZYNSKI A.: Banach spaces on which every unconditionally converging operator is weakly compact.Bull. Acad. Polonaise 10, 1962, 641--648. MR 0149295 |
| Reference:
|
[19] RAO M. B.: Сountable additivity of a set function induced by two vector-valued measures.Indiana Univ. Math. J. 21, 1972, 847-848. MR 0296246 |
| Reference:
|
[20] SHUСHAТ A.: Integral represеntation thеorеms in topological vеctoг spacеs.Тrans. Amеr. Math. Soc. 172, 1972, 373-397. |
| Reference:
|
[21] SWARТZ С.: A gеnеralization of a thеoгеm of Duchon on products of vеctor mеasuгеs.J. Math. Anal. Appl. 51, 1975, 621-628. MR 0374382 |
| Reference:
|
[22] ТHOMAS E.: Ľintеgгation par rapport à unе mеsuге dе Radon vеctoriеllе.Ann. Inst. Fouriеr, Gгеnoblе 20, 1970, 59-189. |
| Reference:
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[23] ТREVES F.: Тopological Vеctor Spacеs, Distгibutions and Kеrnеls.Acadеmic Prеss, N. Y., 1967. |
| Reference:
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[24] ULANOV M. P.: Vеctor valuеd sеt functions and геprеsеntations of continuous linеaг transfoгmations.Sibir. Math. J. 9, 1968, 410-415. MR 0225151 |
| . |
