Skip to main content

Nonstandard topological vector spaces

  • Conference paper
  • First Online:
Victoria Symposium on Nonstandard Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 369))

  • 373 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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

References

  1. R. Parikh, "A Nonstandard Theory of Topological Groups," Applications of Model Theory to Algebra, Analysis, and Probability, (W.A.J. Luxemburg, editor) Holt, Rinehart and Winston, New York, 1969.

    Google Scholar 

  2. A. P. Robertson and W. J. Robertson, Topological Vector Spaces, Cambridge Tracts in Mathematics and Mathematical Physics 53, Cambridge Univ. Press, Cambridge, 1964.

    MATH  Google Scholar 

  3. A. Robinson, Non-Standard Analysis, Studies in Logic and the Foundations of Mathematics, North Holland, Amsterdam, 1966.

    MATH  Google Scholar 

  4. A. Robinson and E. Zakon, "A Set-Theoretical Characterization of Enlargements." Applications of Model Theory to Algebra, Analysis and Probability (W.A.J. Luxemburg, editor) Holt, Rinehart and Winston, New York, 1969.

    Google Scholar 

  5. H. Schaefer, Topological Vector Spaces, MacMillan, New York, 1966.

    MATH  Google Scholar 

  6. F. Treves, Topological Vector Spaces, Distributions, and Kernels, Pure and Applied Mathematics 25, Academic Press, New York, 1967.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Albert Hurd Peter Loeb

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Bellenot, S.F. (1974). Nonstandard topological vector spaces. In: Hurd, A., Loeb, P. (eds) Victoria Symposium on Nonstandard Analysis. Lecture Notes in Mathematics, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065997

Download citation

  • DOI: https://doi.org/10.1007/BFb0065997

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06656-9

  • Online ISBN: 978-3-540-37928-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics