Lebesgue spaces for bilinear vector integration theory
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- by James K. Brooks and Nicolae Dinculeanu PDF
- Bull. Amer. Math. Soc. 80 (1974), 821-824
References
- R. G. Bartle, A general bilinear vector integral, Studia Math. 15 (1956), 337–352. MR 80721, DOI 10.4064/sm-15-3-337-352
- James K. Brooks and Paul W. Lewis, Operators on function spaces, Bull. Amer. Math. Soc. 78 (1972), 697–701. MR 298442, DOI 10.1090/S0002-9904-1972-12988-4
- James K. Brooks and Nicolae Dinculeanu, Strong additivity, absolute continuity, and compactness in spaces of measures, J. Math. Anal. Appl. 45 (1974), 156–175. MR 346505, DOI 10.1016/0022-247X(74)90130-9
- James K. Brooks and Nicolae Dinculeanu, Lebesgue-type spaces for vector integration, linear operators, weak completeness and weak compactness, J. Math. Anal. Appl. 54 (1976), no. 2, 348–389. MR 420266, DOI 10.1016/0022-247X(76)90207-9 5. S. D. Chatterji, Weak convergence in certain special Banach spaces, MRC Technical Sum. Report #443, University of Wisconsin, Madison, Wis., 1963.
- N. Dinculeanu, Vector measures, Hochschulbücher für Mathematik, Band 64, VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. MR 0206189
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 821-824
- MSC (1970): Primary 46E30, 28A45
- DOI: https://doi.org/10.1090/S0002-9904-1974-13525-1
- MathSciNet review: 0365137