Measurability and selections of multi-functions in banach spaces

Journal of Convex Analysis

Volumn 17, Issue 1, 2010, Pages 229-240

  Cascales, B ^a   Kadets, V ^b   Rodriguez J ^a  

^a UNIVERSITY OF MURCIA   (Spain)

^b V N KARAZIN KHARKIV NATIONAL UNIVERSITY   (Ukraine)

Author keywords

Measurable selector; Multi function

Indexed keywords

EID: 77949369656     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. A. Barbati, C. Hess: The largest class of closed convex valued multifunctions for which Effros measurability and scalar measurability coincide, Set-Valued Anal. 6(3) (1998) 209-236.
2. R. D. Bourgin: Geometric Aspects of Convex Sets with the Radon-Nikodým Property, Lecture Notes in Mathematics 993, Springer, Berlin (1983).
3. B. Cascales, V. Kadets, J. Rodriguez: Measurable selectors and set-valued Pettis integral in non-separable Banach 6paces, J. Funct. Anal. 256(3) (2009) 673-699.
4. C. Castaing, M. Valadier: Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer, Berlin (1977).
5. J. B. Conway: A Course in Functional Analysis, Graduate Texts in Mathematics 96, Springer, New York (1985).
6. J. Diestel, J. J. Uhl, Jr.: Vector Measures, Mathematical Surveys 15, American Mathematical Society, Providence (1977).
7. N. Dinculeanu: Vector Measures, International Series of Monographs in Pure and Applied Mathematics 95, Pergamon Press, Oxford (1967).
8. J. E. Jayne, J. Orihuela, A. J. Pallares, G. Vera: c-fragmentability of multivalued maps and selection theorems, J. Funct. Anal. 117(2) (1993) 243-273. [9] E. Klein, A. C. Thompson: Theory of Correspondences, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, New York (1984).
9. K. Kuratowski, C. Ryll-Nardzewski: A general theorem on selectors, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 13 (1965) 397-403.
10. K. Musial: Topics in the theory of Pettis integration, Rend. 1st. Mat. Univ. Trieste 23(1) (1991) 177-262.
11. M. Valadier: Multi-applications mesurables à valeurs convexes compactes, J. Math. Pures Appl., LX. Sér. 50 (1971) 265-297.