Skip to main content
SpringerLink
Log in

Automatic continuity for operators of local type

  • III. Automatic Continuity For Homomorphisms And Derivations
  • Conference paper
  • First Online:
Radical Banach Algebras and Automatic Continuity

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 975))

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. E. Albrecht, Funktionalkalküle in mehreren Veränderlichen für stetige lineare Operatoren auf Banachräumen, Manuscripta Math., 14 (1974), 1–40.

    Article  MathSciNet  MATH  Google Scholar 

  2. ____, On two questions of I. ColojoarĂ and C. Foiaş, Manuscripta Math., 25 (1978), 1–15.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Albrecht and H. G. Dales, Homomorphisms from C*-algebras and other Banach algebras, this Volume.

    Google Scholar 

  4. E. Albrecht und M. Neumann, Automatische Stetigkeitseigenschaften einiger Klassen linearer Operatoren, Math. Ann., 240 (1979), 251–280.

    Article  MathSciNet  MATH  Google Scholar 

  5. ____, Automatic continuity of generalized local linear operators, Manuscripta Math., 32 (1980), 263–294.

    Article  MathSciNet  MATH  Google Scholar 

  6. ____, Local operators between spaces of ultradifferentiable functions and ultradistributions, Manuscripta Math., 38 (1982), 131–161.

    Article  MathSciNet  MATH  Google Scholar 

  7. ____, Continuity properties of Ck-homomorphisms, this Volume.

    Google Scholar 

  8. C. Apostol, Spectral decompositions and functional calculus, Rev. Roum. Math. Pures et Appl., 13 (1968), 1481–1528.

    MathSciNet  MATH  Google Scholar 

  9. M. De Wilde, Closed Graph Theorems and Webbed Spaces, Pitman, London-San Francisco-Melbourne, 1978.

    MATH  Google Scholar 

  10. J. Dugundji, Topology, Allyn and Bacon, Boston, 1966.

    MATH  Google Scholar 

  11. K. Floret, L 1-Räume und Liftings von Operatoren nach Quotienten lokalkonvexer Räume, Math. Z., 134 (1973), 107–117.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Floret und J. Wloka, Einführung in die Theorie der lokalkonvexen Räume, Lecture Notes in Mathematics, No. 56, Springer-Verlag, Berlin-Heidelberg-New York, 1968.

    MATH  Google Scholar 

  13. C. Foiaş, Spectral capacities and decomposable operators, Rev. Roum. Math. Pures et Appl., 13 (1968), 1539–1545.

    MathSciNet  MATH  Google Scholar 

  14. St. FrunzĂ, The Taylor spectrum and spectral decompositions, J. Functional Analysis, 19 (1975), 390–421.

    Article  MathSciNet  MATH  Google Scholar 

  15. B. Gramsch, Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode, Math. Z., 156 (1977), 217–230.

    Article  MathSciNet  MATH  Google Scholar 

  16. G. Köthe, Topological Vector Spaces II, Springer-Verlag, New York-Heidelberg-Berlin, 1979.

    Book  MATH  Google Scholar 

  17. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces, Lecture Notes in Mathematics, No. 338, Springer-Verlag, Berlin-Heidelberg-New York, 1973.

    MATH  Google Scholar 

  18. S. G. Michlin und S. Prößdorf, Singuläre Integraloperatoren, Akademie-Verlag, Berlin, 1980.

    MATH  Google Scholar 

  19. M. Neumann, Automatic Continuity of Linear Operators. In: Functional Analysis: Surveys and recent results II, K.-D. Bierstedt, B. Fuchssteiner (eds.), North-Holland Publ. Comp., Amsterdam-New York-Oxford, 1980, 269–296.

    Chapter  Google Scholar 

  20. J. Peetre, Rectification à l'article "Une caractérisation abstraite des opérateurs différentiels", Math. Scand., 8 (1960), 116–120.

    MathSciNet  MATH  Google Scholar 

  21. F.-H. Vasilescu, Analytic functional calculus and spectral decompositions, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik der Universität des Saarlandes, D-6600, Saarbrücken, W. Germany

    E. Albrecht & M. Neumann

  2. Fachbereich Mathematik der Universität Essen-Gesamthochschule, D-4300, Essen, W. Germany

    E. Albrecht & M. Neumann

Authors
  1. E. Albrecht
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Neumann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

John M. Bachar William G. Bade Philip C. Curtis H. Garth Dales Marc P. Thomas

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Albrecht, E., Neumann, M. (1983). Automatic continuity for operators of local type. In: Bachar, J.M., Bade, W.G., Curtis, P.C., Dales, H.G., Thomas, M.P. (eds) Radical Banach Algebras and Automatic Continuity. Lecture Notes in Mathematics, vol 975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064569

Download citation

  • DOI: https://doi.org/10.1007/BFb0064569

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11985-2

  • Online ISBN: 978-3-540-39454-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation