Skip to main content
SpringerLink
Log in

Topologies induced by banch function spaces

  • Conference paper
  • First Online:
TOPO 72 — General Topology and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 378))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alò, R. A., de Korvin, A., and Kunes, L., "Topologies generated by some vector measures", Proc. Topology Conference, Budapest, 1972 (to appear).

    Google Scholar 

  2. Alò, R. A., de Korvin, A., and Kunes, L., "Topological aspects of q-regular measures", Studia Math. (to appear).

    Google Scholar 

  3. Brooks, J., and Lewis, P. W., "Operators on function spaces", Bull. Amer. Math. Soc. 78, 697–701 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  4. Dinculeanu, N., Vector Measures, Pergamon Press, Berlin, 1967.

    Book  MATH  Google Scholar 

  5. Dunford, N., and Schwartz, J., Linear Operators, Part I, Interscience Publishers, New York, 1958.

    MATH  Google Scholar 

  6. Goodrich, R. K., "A Riesz representation theorem", Proc. Amer. Math. Soc. 24, 629–636 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  7. Gretsky, N., "Representation theorems on Banach function spaces", Mem. Amer. Math. Soc. 84 (1968).

    Google Scholar 

  8. Lewis, P., "Vector measures and topology", Rev. Roumaine Math. Pures Appl. 16, 1201–1209 (1971).

    MathSciNet  MATH  Google Scholar 

  9. Luxemburg, W. A. J. and Zaanen, A. C., "Notes on Banach function spaces", Proc. Acad. Sci. Amsterdam (Indag. Math.), Note I, A66, 135–147 (1963); Note II, A66, 148–153 (1963); Note III, A66, 239–250 (1963); Note IV, A66, 251–263 (1963); Note V, A66, 496–504 (1963); Note VI, A66, 655–668 (1963); Note VII, A66, 669–681 (1963); Note VIII, A67, 104–119 (1964); Note IX, A67, 360–376 (1964); Note X, A67, 493–506 (1964); Note XI, A67, 507–518 (1964); Note XII, A67, 519–529 (1964); Note XIII, A67, 530–543 (1964); Note XIV, A68, 229–248 (1965); Note XV, A68, 415–446 (1965); Note XVI, A68, 646–667 (1965).

    MathSciNet  MATH  Google Scholar 

  10. Orlicz, W., "Absolute continuity of set functions with respect to a finitely subadditive measure", Annales Soc. Math. Pol. Series I, 14, 101–118 (1970).

    MathSciNet  MATH  Google Scholar 

  11. Rao, M. M., "Linear operations, tensor products, and contractive projections in function spaces", Studia Math. 38, 131–186 (1970).

    MathSciNet  MATH  Google Scholar 

  12. Schaefer, H. H., Topological Vector Spaces, Macmillan Company, New York, 1966.

    MATH  Google Scholar 

  13. Zaanen, A. C., Integration, North-Holland Publishing Company, Amsterdam, 1967.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Carnegie-Mellon University, 15213, Pittsburgh, Pennsylvania

    Richard A. Alò

  2. Indiana State University, 47809, Terre Haute, Indiana

    André de Korvin

Authors
  1. Richard A. Alò
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. André de Korvin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Richard A. Alò Robert W. Heath Jun-iti Nagata

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Alò, R.A., de Korvin, A. (1974). Topologies induced by banch function spaces. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068457

Download citation

  • DOI: https://doi.org/10.1007/BFb0068457

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06741-2

  • Online ISBN: 978-3-540-38323-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation