Decomposition theorems for vector measures
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- by James K. Brooks
- Proc. Amer. Math. Soc. 21 (1969), 27-29
- DOI: https://doi.org/10.1090/S0002-9939-1969-0237743-1
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References
- R. G. Bartle, N. Dunford, and J. Schwartz, Weak compactness and vector measures, Canadian J. Math. 7 (1955), 289–305. MR 70050, DOI 10.4153/CJM-1955-032-1
- N. Dinculeanu, Linear operations on spaces of totally measurable functions, Rev. Roumaine Math. Pures Appl. 10 (1965), 1493–1524. MR 206688
- 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. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
- G. G. Gould, Integration over vector-valued measures, Proc. London Math. Soc. (3) 15 (1965), 193–225. MR 174694, DOI 10.1112/plms/s3-15.1.193
- C. E. Rickart, Decomposition of additive set functions, Duke Math. J. 10 (1943), 653–665. MR 9977
- Kôsaku Yosida and Edwin Hewitt, Finitely additive measures, Trans. Amer. Math. Soc. 72 (1952), 46–66. MR 45194, DOI 10.1090/S0002-9947-1952-0045194-X
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 21 (1969), 27-29
- MSC: Primary 28.50
- DOI: https://doi.org/10.1090/S0002-9939-1969-0237743-1
- MathSciNet review: 0237743