Skip to main content

An example of a quasi-normable Fréchet function space which is not a Schwartz space

  • Conference paper
  • First Online:
Functional Analysis, Holomorphy, and Approximation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 843))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. Barroso, J.: Introducción a la holomorfía entre espacios normados, Publicaciones de la Universidad de Santiago de Compostela, Serie Cursos y Congresos, no 7, 1976.

    Google Scholar 

  2. Bierstedt, K.D.-Meise, R.: Bemerkungen über die Approximations-eigenshaft lokalkonvexer Funktionenranme, Math. Ann. 209 (1974), 99–107.

    Article  MathSciNet  MATH  Google Scholar 

  3. Chae, S.B.: Holomorphic germs on Banach spaces, Ann. Inst. Fourier Grenoble 21, 3 (1971), 107–141.

    Article  MathSciNet  MATH  Google Scholar 

  4. Dineen, S.: Holomorphic functions on locally convex topological vector spaces I, Ann. Inst. Fourier, Grenoble, 23 (1973), 19–54.

    Article  MathSciNet  MATH  Google Scholar 

  5. Grothendieck, A.: Sur les espaces (F) et (NF), Summa Brasiliensis Math. 3 (1954), 57–122.

    MathSciNet  Google Scholar 

  6. Isidro, J.M.: Topological duality on the space (H b(U;F),τb). Proc. Royal Irish Acad. 79, S, 12 (1979), 115–130.

    MathSciNet  MATH  Google Scholar 

  7. Mujica, J.: Gérmenes holomorfos y funciones holomorfas en espacios de Fréchet, Publicaciones del Departamento de Teoría de Funciones. Universidad de Santiago de Compostela, no 1, 1978.

    Google Scholar 

  8. Nachbin, L.: Topology on spaces of Holomorphic Mapping, Springer-Verlag, 1969.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Silvio Machado

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Ansemil, J.M., Ponte, S. (1981). An example of a quasi-normable Fréchet function space which is not a Schwartz space. In: Machado, S. (eds) Functional Analysis, Holomorphy, and Approximation Theory. Lecture Notes in Mathematics, vol 843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089266

Download citation

  • DOI: https://doi.org/10.1007/BFb0089266

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10560-2

  • Online ISBN: 978-3-540-38529-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics