Extension of operator valued set functions with finite semivariation.
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- by P. W. Lewis
- Proc. Amer. Math. Soc. 22 (1969), 563-569
- DOI: https://doi.org/10.1090/S0002-9939-1969-0245755-7
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References
- N. Dinculeanu, Vector measures, Hochschulbücher für Mathematik [University Books for Mathematics], Band 64, VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. MR 206189 N. Dunford, and J. Schwartz, Linear Operators, Part 1, Interscience, New York, 1958. R. J. Easton, and D. H. Tucker, A generalized Lebesgue-type integral, Abstract 642-153, Notices Amer. Math. Soc. 14 (1967), 108. P. W. Lewis, Concerning extensions of certain set functions, Abstract 656-49, Notices Amer. Math. Soc. 15 (1968), 517.
- H. L. Royden, Real analysis, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1963. MR 151555
- Don H. Tucker, A representation theorem for a continuous linear transformation on a space of continuous functions, Proc. Amer. Math. Soc. 16 (1965), 946–953. MR 199722, DOI 10.1090/S0002-9939-1965-0199722-9 D. J. Uherka and D. H. Tucker, A Riesz representation theorem, Abstract 610-18, Notices Amer. Math. Soc. 11 (1964), 313. S. G. Wayment, Absolute continuity and the Radon theorem, Abstract 656-51, Notices Amer. Math. Soc., 15 (1968), 517; Ph. D. Thesis, University of Utah.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 563-569
- MSC: Primary 28.50
- DOI: https://doi.org/10.1090/S0002-9939-1969-0245755-7
- MathSciNet review: 0245755