Skip to main content

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

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

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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. 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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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

Editors and Affiliations

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