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The Nikodym Boundedness theorem and the uniform boundedness principle

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Measure Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1033))

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References

  1. BROOKS and JEWETT: On Finitely Additive Vector Measures. Proc. Nat. Acad. Sci., U.S.A., 67 (1970), 1294–1298.

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  2. DIESTEL, J. and J. UHL: Vector Measures. Math. Surveys 15, Amer. Math. Soc., Providence, 1977.

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  3. DREWNOWSKI, L.: Equivalence of Brooks-Jewett. Vitali-Hahn-Saks and Nikodym Theorems. Bull. Acad. Polon. Sci., 20 (1972), 725–731.

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  4. DREWNOWSKI, L.: Uniform Boundedness Principle for Finitely Additive Vector Measures. Bull. Acad. Polon. Sci., 21 (1973), 115–118.

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  5. DUNFORD, N. and J. SCHWARTZ: Linear Operators. Interscience, N. Y., 1958.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Texas at El Paso, 79922, El Paso, Texas, U.S.A.

    Piotr Antosik

  2. Department of Mathematics, New Mexico State University, 88003, Las Cruces, NM, U.S.A.

    Charles Swartz

Authors
  1. Piotr Antosik
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  2. Charles Swartz
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Editor information

Jean-Marc Belley Jacques Dubois Pedro Morales

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© 1983 Springer-Verlag

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Antosik, P., Swartz, C. (1983). The Nikodym Boundedness theorem and the uniform boundedness principle. In: Belley, JM., Dubois, J., Morales, P. (eds) Measure Theory and its Applications. Lecture Notes in Mathematics, vol 1033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099843

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  • DOI: https://doi.org/10.1007/BFb0099843

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12703-1

  • Online ISBN: 978-3-540-38690-2

  • eBook Packages: Springer Book Archive

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