On integration in Banach spaces, VI

 Access to full text

 Full (PDF)

1. Bartle R., 10.4064/sm-15-3-337-352, Studia Math. 15 (1956), 337-352. (1956) MR0080721DOI10.4064/sm-15-3-337-352
2. [2J Birkhoff G., 10.4064/fm-20-1-262-176, Trans. Amer. Math. Soc. 38 (1935), 357-378. (1935) MR1501815DOI10.4064/fm-20-1-262-176
3. Bochner S., 10.1007/BF01954539, Fund. Math. 20 (1933), 262-276. (1933) DOI10.1007/BF01954539
4. Bryant W. W., Independent axioms for convexity, J. Geometry 5 (1974), 95-99. (1974) Zbl0288.52001MR0355820
5. Bryant W. W., 10.1016/0022-247X(72)90268-5, Proc. Edinburgh Math. Soc. 19 (1974), 125-132. (1974) Zbl0292.46007MR0417749DOI10.1016/0022-247X(72)90268-5
6. Bryant W. W., Webster R. J., 10.1016/0022-247X(73)90076-0, J. Math. Anal. Appl. 37 (1972), 206-213. (1972) Zbl0197.48401MR0296812DOI10.1016/0022-247X(73)90076-0
7. Bryant W. W., Webster R. J., 10.1016/0022-247X(77)90267-0, J. Math. Anal. Appl. 43 (1973), 321-327. (1973) Zbl0259.52001MR0380622DOI10.1016/0022-247X(77)90267-0
8. Bryant W. W., Webster R. J., 10.1090/pspum/007/0157289, J. Math. Anal. Appl. 57 (1977), 382 to 392. (1977) Zbl0342.52001MR0467541DOI10.1090/pspum/007/0157289
9. Danzer L., Grünbaum В., Klee V., Helly's theorems and its relatives, Proc. Sympos. Pure Math. Vol. VII(convexity). Amer. Math. Soc. (1963), 101-180. (1963) 
10. Diestel J., Uhl J. J., Vector measures, Math. Surveys 15, Amer. Math. Soc., Providence, Rhode Island 1977. (1977) Zbl0369.46039MR0453964
11. Dieudonné J., Foundations of Modern Analysis, Academic Press, New York 1960. (1960) MR0120319
12. Dinculeanu N., Vector measures, Pergamon Press, New York 1967. (1967) MR0206190
13. Dobrakov I., On integration in Banach spaces I, Czechoslovak Math. J. 20 (1970), 511- 536. (1970) Zbl0215.20103MR0365138
14. Dobrakov I., On integration in Banach spaces II, Czechoslovak Math. J. 20 (1970), 680- 695. (1970) Zbl0224.46050MR0365139
15. Dobrakov I., On integration in Banach spaces III, Czechoslovak Math. J. 29 (1979), 478-499. (1979) Zbl0429.28011MR0536071
16. Dobrakov I., Оn integration, in Banach spaces IV, Czechoslovak Math. J. 30 (1980), 259-279. (1980) MR0566051
17. Dobrakov I., 10.1090/S0002-9947-1935-1501796-2, Czechoslovak Math. J. 30 (1980), 610- 622. (1980) Zbl0506.28004MR0592324DOI10.1090/S0002-9947-1935-1501796-2
18. Dunford N., Integration in general analysis, Trans. Amer. Math. Soc. 37 (1935), 441 - 453. (1935) Zbl0013.15502MR1501796
19. Dunford N., Schwartz J. T., 10.1007/BF01302165, Interscience Publishers, Inс., New York 1964. (1964) DOI10.1007/BF01302165
20. Eckhoff J., 10.1007/BF01297698, Monatsh. Math. 72 (1968), 303-314. (1968) MR0233285DOI10.1007/BF01297698
21. Eckhoff J., 10.1215/S0012-7094-52-01941-8, Monatsh. Math. 73 (1969), 7-30. (1969) MR0243427DOI10.1215/S0012-7094-52-01941-8
22. Ellis J. W., 10.4153/CJM-1950-046-x, Duke Math. J. 19 (1952), All-All. (1952) Zbl0047.28601MR0049268DOI10.4153/CJM-1950-046-x
23. Green J. W., Gustin W., Quasiconvex sets, Canad. J. Math. 2 (1950), 489-507. (1950) Zbl0038.35501MR0042142
24. Guay M. D., Naimpally S. A., Characterization of a convex subspace of a linear topological space, Math. Japonicae 20 (1975), 37-41. (1975) Zbl0335.46008MR0410334
25. Hanner O., 10.1090/S0002-9947-1934-1501772-9, Seminar on Convex Sets, Inst. for Advanced Study, Princeton, New Jersey (1949-1950), 35-40. (1949) DOI10.1090/S0002-9947-1934-1501772-9
26. Hildebrandt T. H., 10.2140/pjm.1971.38.471, Trans. Amer. Math. Soc. 36 (1934), 868-875. (1934) Zbl0010.30303MR1501772DOI10.2140/pjm.1971.38.471
27. Kay D. C, Womble E. W., Axiomatic convexity theory and relationships between the Carathéorody, Helly and Radon numbers, Pacific J. Math. 38 (1971), 471 - 485. (1971) MR0310766
28. Kelley J. L., Srinivasan T. P., 10.1007/BF01455714, Proc. Conf. Vector and Operator-valued Measures, Snowbird, Utah, Academic Press (1973), 165-174. (1973) Zbl0293.28010MR0330408DOI10.1007/BF01455714
29. Kolmogoroff A., Untersuchunge über den Integralbegriff, Math. Ann. 103 (1930), 654-696. (1930) 
30. Levi F. W., 10.1112/jlms/s2-13.2.209, J. Indian Math. Soc. (N.S.) 15(1951), 65-76. (1951) Zbl0044.19101MR0043487DOI10.1112/jlms/s2-13.2.209
31. Mah P., Naimpally S. A., Whitfield J. H. M., Linearization of a convexity space, J. London Math. Soc. (2) 13 (1976), 209-214. (1976) Zbl0326.52005MR0415510
32. Maynard H. В., A general Radon-Nikodym theorem, Proc. Conf. Vector and Operator-valued Measures, Snowbird, Utah, Academic Press (1973), 233 - 246. (1973) Zbl0301.28006MR0404578
33. McLeod R., Mean value theorem for vector valued functions, Proc. Edinburgh Math. Soc. 14(1965), 197-209. (1965) MR0185052
34. Morales P., Mean value theorem for the Dobrakov integral, Proc. Conf. on Measure Theory and Appl., Northern Illinois University (1981), 235-242. (1981) Zbl0523.28009
35. Prenowitz W., A contemporary approach to classical geometry, H.E. Slaught Memorial Paper 9, Amer. Math. Monthly 68 (1961), Appendix, 1--67. (1961) Zbl0094.15402MR0123931
36. Prenowitz W., Jantosciak J., 10.1090/S0002-9947-1940-0001442-5, J. Reine Angew. Math. 257 (1972), 100-128. (1972) Zbl0264.50002MR0308908DOI10.1090/S0002-9947-1940-0001442-5
37. Price G. В., 10.2140/pjm.1970.35.227, Trans. Amer. Math. Soc. 47 (1940), 1 - 50. (1940) Zbl0022.31901MR0001442DOI10.2140/pjm.1970.35.227
38. Reay J. R., 10.5802/aif.17, Pacific J. Math. 35 (1970), 227-230. (1970) Zbl0182.55601MR0273517DOI10.5802/aif.17
39. Schwartz L., 10.1007/BF02787718, Ann. Inst. Fourier 2 (1950), 17-18. (1950) Zbl0042.11601MR0042610DOI10.1007/BF02787718
40. Schwartz L., Espaces de fonctions différentiables à valeurs vectorielles, J. Analyse Math. 4 (1956), 88-148. (1956) MR0080268
41. Schwartz L., 10.4153/CMB-1976-073-0, Hermann, Paris 1967. (1967) MR0226972DOI10.4153/CMB-1976-073-0
42. Szafron S. A., Weston J. H., An internal solution to the problem of linearization of a convexity space, Canad. Math. Bull. 19 (1976), 487-494. (1976) Zbl0382.52002MR0450940
43. Taylor A. E., Introduction to functional analysis, John Wiley and Sons, Inc., New York 1958. (1958) Zbl0081.10202MR0098966
44. Yamamuro S., Differential calculus in topological linear spaces, Lecture Notes in Math. 374, Springer-Verlag, New York 1974. (1974) Zbl0276.58001MR0488118

1. José Rodríguez, On integration of vector functions with respect to vector measures
2. Ivan Dobrakov, On integration in Banach spaces, VII
3. Ivan Dobrakov, On integration in Banach spaces, IX. Integration with respect to polymeasures
4. Ivan Dobrakov, On integration in Banach spaces. X: Integration with respect to polymeasures
5. Ján Haluška, On integration in complete bornological locally convex spaces
6. Ivan Dobrakov, On integration in Banach spaces, VIII. Polymeasures
7. Ivan Dobrakov, Representation of multilinear operators on $\times C_0\left(T_i\right)$
8. Ivan Dobrakov, On integration in Banach spaces, XII. Integration with respect to polymeasures
9. Ivan Dobrakov, On integration in Banach spaces, XIII. Integration with respect to polymeasures
10. Ivan Dobrakov, On integration in Banach spaces, XI. Integration with respect to polymeasures