On representation of linear operators on $C_0(T,𝐗)$

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1. Bartle R. G., 10.4064/sm-15-3-337-352, Studia Math. 15 (1956), 337-352. (1956) Zbl0070.28102MR0080721DOI10.4064/sm-15-3-337-352
2. Bartle R. G., Dunford N., Schwartz J., 10.4153/CJM-1955-032-1, Canadian J. Math. 7 (1955), 289-305. (1955) Zbl0068.09301MR0070050DOI10.4153/CJM-1955-032-1
3. Batt J., 10.1007/BF01364276, Math. Annalen 174 (1967), 291-304. (1967) Zbl0157.21004MR0223913DOI10.1007/BF01364276
4. Batt J., Berg J., A theorem about weakly compact operators on the space of continuous functions on a compact Hausdorff space, Notices AMS, Vol. 15 n. 2 (1968), p. 363. (1968) 
5. Batt J., On compactness and vector measures, Notices AMS Vol. 15 n. 3 (1968), p. 510, (1968) 
6. Bessaga C., Pelczyňski A., 10.4064/sm-17-2-151-164, Studia Math. 17 (1958), 151-164. (1958) MR0115069DOI10.4064/sm-17-2-151-164
7. Bochner S., Taylor A. E., 10.2307/1968472, Annals of Math. (2) 39 (1938), 913-944. (1938) Zbl0020.37101MR1503445DOI10.2307/1968472
8. Bogdanowicz W. M., Representations of linear continuous functional on the space $C(X,Y)$ of continuous functions from compact $X$ into locally convex $Y$, Proc. Japan Acad. Vol. 42, n. 10 (1967), 1122-1127. (1967) MR0213503
9. Brown С. С., 10.7146/math.scand.a-10705, Math. Scand. 14 (1964), 45-64. (1964) MR0179570DOI10.7146/math.scand.a-10705
10. Dinculeanu N., Vector measures, VEB Deutscher Verlag der Wissenschaften, Berlin 1966. (1966) Zbl0142.10502MR0206189
11. Dinculeanu N., Contributions of Romanian mathematicians to the measure and integration theory, Revue Roum. Math. Pures Appl. 11 (1966), 1075-1102. (1966) Zbl0147.04301MR0202952
12. Dinculeanu N., 10.1007/BF01363894, Math. Annalen 173 (1967), 147-180. (1967) Zbl0156.14902MR0231171DOI10.1007/BF01363894
13. Dobrakov L., On integration in Banach spaces, I, Czech. Math. J. 20 (95) (1970), 511 - 536. (1970) Zbl0215.20103MR0365138
14. Dunford N., Pettis B. J., 10.1090/S0002-9947-1940-0002020-4, Trans. Amer. Math. Soc. 47 (1940), 323-392. (1940) Zbl0023.32902MR0002020DOI10.1090/S0002-9947-1940-0002020-4
15. Dunford N., Schwartz J., Linear operators, part I, Interscience Publishers, New York 1958. (1958) Zbl0084.10402MR0117523
16. Edwards R. E., Functional analysis, theory and applications, Holt, Rinehart and Winston, 1965. (1965) Zbl0182.16101MR0221256
17. Foias C., Singer I., Some remarks on the representation of linear operators in spaces of vector valued continuous functions, Revue Roum. Math. Appl. 5 (1960), 729-752. (1960) Zbl0102.32302MR0131770
18. Foias C., Singer I., 10.1007/BF01111723, Math. Zeitschrift 87 (1965), 434-450. (1965) Zbl0132.09904MR0180863DOI10.1007/BF01111723
19. Grothendieck A., 10.4153/CJM-1953-017-4, Canadian J. Math. 5 (1953), 129-173. (1953) Zbl0050.10902MR0058866DOI10.4153/CJM-1953-017-4
20. Grothendieck A., Produits tensoriels topologiques et espaces nucléaires, Memoirs of AMS no 16, Providence 1955. (1955) Zbl0123.30301MR0075539
21. Halmos P. R., Measure theory, D. Van Nostrand, New York 1950. (1950) Zbl0040.16802MR0033869
22. Hille E., Phillips R., Functional analysis and semi-groups, Amer. Math. Soc. Coll. Publ., Providence 1957. (1957) MR0089373
23. Kluvánek I, Some generalizations of the Riesz-Kakutani theorem, (Russian), Czech. Math. J. 13 (88) (1963), 89-113. (1963) MR0151574
24. Kluvánek I, Characterization of Fourier-Stieltjes transforms of vector and operator valued measures, Czech. Math. J. 17 (92) (1967), 261-277. (1967) MR0230872
25. Krasnosel'skij M. A., About a class of linear operators in a space of abstract functions, (Russian), Matematičeskije zametky 2 (1967), 599-604. (1967) MR0222683
26. Pelczyňski A., 10.4064/sm-19-2-209-228, Studia Math. 19 (1960), 209-228. (1960) MR0126145DOI10.4064/sm-19-2-209-228
27. Pelczyňski A., Banach spaces on which every unconditionally converging operator is weakly compact, Bull. Acad. Polonaise 10 (1962), 641 - 648. (1962) MR0149295
28. Phillips R. S., 10.2307/2371776, Amer. J. Math. 65 (1943), 108-136 (1943) Zbl0063.06212MR0007938DOI10.2307/2371776
29. Przeworska-Rolewicz D., Rolewicz S, Equations in linear spaces, Monografie Mat. Vol 47, PWN Warszawa 1968. (1968) Zbl0181.40501MR0412842
30. Singer I., Linear functionals on the space of continuous mappings of a compact space into a Banach space, (Russian), Revue Roum. Math. 2 (1957), 301 - 315. (1957) MR0096964
31. Swong K., 10.1007/BF01354862, Math. Annalen 155 (1964), 270-291. (1964) MR0165358DOI10.1007/BF01354862
32. Ulanov M. P., Linear functionals on some spaces of abstract functions, (Russian), Sibirskij Mat. J. 9 (1968), 402-409. (1968) MR0227744
33. Ulanov M. P., Vector valued set functions and representation of continuous linear transformations, (Russian), Sibirskij Mat. J. 9 (1968), 410-415. (1968) MR0225151
34. Whitley R., 10.1007/BF01350091, Math. Annalen 172 (1967), 116-118. (1967) Zbl0146.36301MR0212548DOI10.1007/BF01350091
35. Batt J., Berg E. J., 10.1016/0022-1236(69)90012-3, J. Funct. Anal. 4 (1969), 215-239. (1969) MR0248546DOI10.1016/0022-1236(69)90012-3
36. Batt J., Applications of the Orlicz-Pettis theorem to operator-valued measures and compact and weakly compact linear transformations on the space of continuous functions, Revue Roum. Math. Pures Appl. 14 (1969), 907-935. (1969) Zbl0189.43001MR0388158
37. Dobrakov. L, On integration in Banach spaces, II, Czech. Math. J. 20 (95) (1970), 680-695. (1970) Zbl0224.46050MR0365139
38. Howard J., 10.4064/sm-33-3-295-298, Studia Math. 33 (1969), 295-298. (1969) Zbl0189.43504MR0247520DOI10.4064/sm-33-3-295-298

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