Skip to main content

Enriched Algebraic Categories with Applications in Functional Analysis

  • Conference paper
  • First Online:
Categorical Aspects of Topology and Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 915))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Adamek, Colimits of algebras revisited, Bull. Austral. Math. Soc. 17 (1977) 433–450.

    Article  MATH  MathSciNet  Google Scholar 

  2. E. Binz and H.H. Keller, Funktionenräume in der Kategorie der Limesräume, Ann. Acad. Sci. Fenn. Ser. AI 383 (1966) 3–21.

    MathSciNet  Google Scholar 

  3. F. Borceux and B. Day, Universal algebra in a closed category, J. Pure Appl. Algebra, 16 (1980) 133–147.

    Article  MATH  MathSciNet  Google Scholar 

  4. E. Dubuc, Kan extensions in Enriched Category Theory, Springer Lecture Notes in Math. 145 (1970).

    Google Scholar 

  5. S. Eilenberg and G.M. Kelly, Closed Categories, Proc. Conf. Categorical Algebra, La Jolla 1965, Springer, Berlin (1966) 421–562.

    Chapter  Google Scholar 

  6. H. Herrlich, Regular categories and regular functors, Canad. J. Math. 26 (1974) 709–720.

    Article  MATH  MathSciNet  Google Scholar 

  7. H. Herrlich and G.E. Strecker, Category Theory, Allyn and Bacon, Boston (1973).

    MATH  Google Scholar 

  8. H. Hogbe-Nlend, Bornologies and Functional Analysis, North-Holland, Amsterdam (1977).

    Google Scholar 

  9. G.M. Kelly, Tensor products in Categories, J. Algebra 2 (1965) 15–37.

    Article  MATH  MathSciNet  Google Scholar 

  10. G.M. Kelly, Adjunction for Enriched Categories, Reports of the Midwest Category Seminar III, Springer Lecture Notes in Math. 106 (1969) 166–177.

    Article  Google Scholar 

  11. L.D. Nel, Convenient topological algebra and reflexive objects, Categorical Topology (Proc. Int. Conf. Berlin 1978), Springer Lecture Notes in Math. 719 (1979) 259–276.

    Article  MathSciNet  Google Scholar 

  12. L.D. Nel, Universal topological algebra needs closed topological categories, Topology and Appl. (to appear)

    Google Scholar 

  13. H.E. Porst, On underlying functors in general and topological algebra, Manuscripta Math. 20 (1977) 209–225.

    Article  MATH  MathSciNet  Google Scholar 

  14. C.E. Wingren, Locally convex limit spaces, Acta Acad. Abo. Set. B. 33 (1973) 1–14.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

B. Banaschewski

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Nel, L.D. (1982). Enriched Algebraic Categories with Applications in Functional Analysis. In: Banaschewski, B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol 915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092884

Download citation

  • DOI: https://doi.org/10.1007/BFb0092884

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11211-2

  • Online ISBN: 978-3-540-39041-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics