Skip to main content
SpringerLink
Log in

Local Dissipativeness and Closure of Local Operators

  • Chapter
Toeplitz Centennial

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 4))

  • 53 Accesses

Abstract

We prove (under a very mild assumption) the equivalence of an earlier notion of locally dissipative with a more recent and sometimes more convenient one.

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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. Hoffman, K.: Banach spaces of analytic functions, Prentice Hall, Inc., Englewood Cliffs, N.J., 1962.

    Google Scholar 

  2. Lumer, G.: Probleme de Cauchy pour Operateurs locaux et “changement de temps”, Annales Inst. Fourier, 25 (1975), fasc. 3 et 4, 409–446.

    Article  Google Scholar 

  3. Lumer, G.: Probleme de Cauchy et fonctions surharmoniques. Seminaire de theorie du potentiell Paris N° 2, Lect. Notes in Math. vol. 563 (1976), Springer-Verlag, Berlin, 202–218.

    Google Scholar 

  4. —: Equations d’évolution pour Operateurs locaux non localement fermes, C.R. Acad. Sci. Paris, 284 (1977), 1361–1363.

    Google Scholar 

  5. —: Local operators, regular sets, and evolution equations of diffusion type, to appear in Functional analysis and approximation, I.S.N.M., Birkhäuser Verlag, Basel.

    Google Scholar 

  6. —: Espaces ramifiés et diffusions sur les réseaux topologiques, C.R. Acad. Sci. Paris, 291 (1980), série A, 627–630.

    Google Scholar 

  7. Paquet, L.: Semi-groupes généralisés et équations d’évolution, Séminaire de théorie du Potentiel, Paris N° 4, Lect. Notes in Math., vol. 713 (1979), Springer-Verlag, Berlin, 243–263.

    Google Scholar 

  8. Roth, J.P.: Operateurs dissipatifs et semi-groupes dans les espaces de fonctions continues, Annales Inst. Fourier, 26 (1976), fasc. 4, 1–97.

    Article  Google Scholar 

  9. —: Recollement des semi-groupes de Feller locaux, Annales Inst. Fourier, 30 (1980), fasc. 3, 75–89.

    Article  Google Scholar 

  10. Stoica, L.: Local operators and Markov processes, Lect. Notes in Math. vol. 816, Springer-Verlag, Berlin, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Mathématique, Université de l’Etat, Avenue Maistriau, 15, 7000, Mons, Belgium

    Gunter Lumer

Authors
  1. Gunter Lumer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Israel

    I. Gohberg

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer Basel AG

About this chapter

Cite this chapter

Lumer, G. (1982). Local Dissipativeness and Closure of Local Operators. In: Gohberg, I. (eds) Toeplitz Centennial. Operator Theory: Advances and Applications, vol 4. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5183-1_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5183-1_24

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5184-8

  • Online ISBN: 978-3-0348-5183-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation