Skip to main content

Group- and vector-valued S-bounded contents

Non-Scalar-Valued Measures And Integrals

Part of the Lecture Notes in Mathematics book series (LNM,volume 1089)

Keywords

  • Boolean Algebra
  • Finite Subset
  • Lattice Isomorphism
  • Complete Boolean Algebra
  • Boolean Ring

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N. Bourbaki, General Topology Part I. Hermann, Paris 1966.

    MATH  Google Scholar 

  2. L. Drewnowski, Topological rings of sets, continuous set functions, integration. I, II, III. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 20, 269–276, 277–286, 439–445 (1972).

    MathSciNet  MATH  Google Scholar 

  3. L. Drewnowski, Decomposition of set functions. Studia Math. 48, 23–48 (1973).

    MathSciNet  MATH  Google Scholar 

  4. W.H. Graves, Vector-valued measures. Measure Theory and its Applications. Proceedings of the 1980 Conference at Northern Illinois University, 51–91 (1981).

    Google Scholar 

  5. N. Jacobson and O. Taussky, Locally compact rings. Proc. Nat. Acad. Sci. 21, 106–108 (1935).

    CrossRef  MATH  Google Scholar 

  6. I. Kluvanek and G. Knowles, Vector measures and control systems. Amsterdam 1975.

    Google Scholar 

  7. T. Traynor, S-bounded additive set functions. Vector and Operator Valued Measures and Applications. Proceedings Sympos., Alta, Utah, 1972. Academic Press, New York 1973, 355–365.

    CrossRef  Google Scholar 

  8. T. Traynor, The Lebesgue decomposition for group-valued set functions. Trans. Amer. Math. Soc. 220, 307–319 (1976).

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. S. Warner, Compact Rings and Stone-Čech Compactifications. Arch. Math. 11, 327–332 (1960).

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H. Weber, Die atomare Struktur topologischer Boolescher Ringe und s-beschränkter Inhalte. Studia Math. 74, 57–81 (1982).

    MathSciNet  MATH  Google Scholar 

  11. H. Weber, Vergleich monotoner Ringtopologien und absolute Stetigkeit von Inhalten. Comment. Math. Univ. Sancti Pauli 31, 49–60 (1982).

    MathSciNet  MATH  Google Scholar 

  12. H. Weber, Topological Boolean rings. Decomposition of finitely additive set functions. Pacific J. Math. 109 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Weber, H. (1984). Group- and vector-valued S-bounded contents. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1983. Lecture Notes in Mathematics, vol 1089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072614

Download citation

  • DOI: https://doi.org/10.1007/BFb0072614

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13874-7

  • Online ISBN: 978-3-540-39069-5

  • eBook Packages: Springer Book Archive