Compactness properties of the integration mapassociated with a vector measure

 Access to full text

 Full (PDF)

1. [1] G. P. Curebra, Operators into $L^1$ of a vector measure and applications to Banach lattices, Math. Ann. 293 (1992), 317-330. 
2. [2] W. J. Davis, T. Figiel, W. B. Johnson and A. Pełczyński, Factoring weakly compact operators, J. Funct. Anal. 17 (1974), 311-327. Zbl0306.46020
3. [3] J. Diestel, Sequences and Series in Banach Spaces, Springer, New York, 1984. 
4. [4] J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, 1977. 
5. [5] P. G. Dodds, B. de Pagter and W. J. Ricker, Reflexivity and order properties of scalar-type spectral operators in locally convex spaces, Trans. Amer. Math. Soc. 293 (1986), 355-380. Zbl0595.47025
6. [6] I. Kluvánek, Applications of vector measures, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 101-134. Zbl0587.28005
7. [7] I. Kluvánek and G. Knowles, Vector Measures and Control Systems, North-Holland, Amsterdam, 1976. Zbl0316.46043
8. [8] S. Okada, A tensor product vector integral, in: Lecture Notes in Math. 1089, Springer, Berlin, 1984, 127-145. 
9. [9] S. Okada, The dual space of $L^1\left(\mu \right)$ for a vector measure μ, J. Math. Anal. Appl. 177 (1993), 583-599. Zbl0804.46049
10. [10] S. Okada and W. J. Ricker, Non-weak compactness of the integration map for vector measures, J. Austral. Math. Soc. Ser. A, 54 (1993), 287-303. Zbl0802.28005

1. S. Okada, S. Ricker, Compactness properties of vector-valued integration maps in locally convex spaces
2. Susumu Okada, Werner J. Ricker, Criteria for weak compactness of vector-valued integration maps