Compactness properties of vector-valued integration maps in locally convex spaces

• Autorzy: S. Okada , W. J. Ricker
• Języki publikacji: EN

Słowa kluczowe

EN

vector measure; projective limit; weakly compact map; integration map; locally convex space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 1
• Strony: 1-14

Daty

wydano

1994

otrzymano

1992-10-19

poprawiono

1993-02-22

Twórcy

autor

S. Okada

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

autor

W. J. Ricker

• School of Mathematics, University of New South Wales, P.O. Box 1, Kensington, New South Wales 2033, Australia

Bibliografia

• [1] C. D. Aliprantis and O. Burkinshaw, Positive Operators, Academic Press, New York, 1985.
• [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 and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, 1977.
• [4] J. Diestel and J. J. Uhl, Progress in vector measures -- 1977-83, in: Measure Theory and its Applications (Proc. Conf. Sherbrooke, Canada, 1982), Lecture Notes in Math. 1033, Springer, Berlin, 1983, 144-192.
• [5] P. G. Dodds and W. J. Ricker, Spectral measures and the Bade reflexivity theorem, J. Funct. Anal. 61 (1985), 136-163.
• [6] N. Dunford and J. T. Schwartz, Linear Operators, Part III: Spectral Operators, Wiley-Interscience, New York, 1972.
• [7] I. Kluvánek, Applications of vector measures, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 101-134.
• [8] I. Kluvánek and G. Knowles, Vector Measures and Control Systems, NorthHolland, Amsterdam, 1976.
• [9] G. Köthe, Topological Vector Spaces I, Springer, Berlin, 1969.
• [10] D. R. Lewis, Integration with respect to vector measures, Pacific J. Math. 33 (1970), 157-165.
• [11] S. Okada and W. Ricker, Compactness properties of the integration map associated with a vector measure, Colloq. Math. 66 (1994), 175-185.
• [12] H. H. Schaefer, Topological Vector Spaces, Springer, New York, 1970.
• [13] E. Thomas, The Lebesgue-Nikodym theorem for vector-valued Radon measures, Mem. Amer. Math. Soc. 139 (1974).