Compactness properties of the integration mapassociated with a vector measure

• Autorzy: Susumu Okada , Werner J. Ricker
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 66
• Numer: 2
• Strony: 175-185

Daty

wydano

1993

otrzymano

1991-07-30

Twórcy

autor

Susumu Okada

• Department of Mathematics, University of Tasmania, Hobart, 7001, Australia

autor

Werner J. Ricker

• School of Mathematics, University of New South Wales, Kensington, 2033, Australia

Bibliografia

• [1] G. P. Curebra, Operators into $L^1$ of a vector measure and applications to Banach lattices, Math. Ann. 293 (1992), 317-330.
• [2] W. J. Davis, T. Figiel, W. B. Johnson and A. Pełczyński, Factoring weakly compact operators, J. Funct. Anal. 17 (1974), 311-327.
• [3] J. Diestel, Sequences and Series in Banach Spaces, Springer, New York, 1984.
• [4] J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, 1977.
• [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.
• [6] I. Kluvánek, Applications of vector measures, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 101-134.
• [7] I. Kluvánek and G. Knowles, Vector Measures and Control Systems, North-Holland, Amsterdam, 1976.
• [8] S. Okada, A tensor product vector integral, in: Lecture Notes in Math. 1089, Springer, Berlin, 1984, 127-145.
• [9] S. Okada, The dual space of $L^1(μ)$ for a vector measure μ, J. Math. Anal. Appl. 177 (1993), 583-599.
• [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.