Skip to main content
SpringerLink
Log in

On the radon-nikodym theorem for operator measures and its applications to prediction and linear systems theory

  • Operator Valued Measures And Infinite Dimensional Processes
  • Conference paper
  • First Online:
Measure Theory Applications to Stochastic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 695))

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 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.

Literature

  1. Bourbaki, N.: Éléments de Mathématique. Livre V: Espaces vectoriels topologiques, Chap. V, Paris 1964

    Google Scholar 

  2. Diestel, J. and J.J. Uhl, Jr.: The Radon-Nikodym theorem for Banach space valued measures, Rocky Mountain J. of Math. 6 (1976) 1–46

    Article  MathSciNet  MATH  Google Scholar 

  3. Dinculeanu, N.: Vector measures, Berlin 1967

    Google Scholar 

  4. Gangolli, R.: Wide sense stationary sequences of distributions in Hilbert space and the factorization of operator valued functions, J. Math. Mech. 12 (1963) 893–910

    MathSciNet  MATH  Google Scholar 

  5. Hackenbroch, W.: Integration vektorwertiger Funktionen nach operatorwertigen Maßen, Math. Zeitschr. 105 (1968) 327–344

    Article  MathSciNet  MATH  Google Scholar 

  6. —: Integraldarstellung einer Klasse dissipativer linearer Operatoren, Math. Zeitschr. 109 (1969) 273–287

    Article  MathSciNet  MATH  Google Scholar 

  7. —: Zur Vorhersagetheorie stationärer Operatorfolgen, Z. Wahrscheinlichkeitstheorie verw. Geb. 18 (1971) 305–321

    Article  MathSciNet  MATH  Google Scholar 

  8. Helson, H.: Lectures on invariant subspaces, New York 1964

    Google Scholar 

  9. Ionescu Tulcea, A. and C. Ionesu Tulcea: Topics in the theory of lifting, Ergebnisse der Mathematik und ihrer Grenzgebiete Band 48, New York 1969

    Google Scholar 

  10. Kölzow, D.: Differentiation von Maßen, L.N. in Mathematics 65 (1968)

    Google Scholar 

  11. König, H. and J. Meixner: Lineare Systeme und lineare Transformationen, Math. Nachr. 19 (1958) 265–322

    Article  MathSciNet  MATH  Google Scholar 

  12. Küster, U.: Verschiedene Aspekte von operatorwertigen Maßen. Diplomarbeit, Saarbrücken 1977

    Google Scholar 

  13. Meixner, J.: Reversibilität und Irreversibilität in linearen passiven Systemen, Z. Naturforschung 16a (1961) 721–726

    MATH  Google Scholar 

  14. Toberte, J.: Invariante Teilräume und die verlorene Energie linearer passiver Transformationen. Dissertation, Köln 1965

    Google Scholar 

  15. Wils, W.: Direct integrals of Hilbert spaces I, Math. Scand 26 (1970) 73–88

    MathSciNet  MATH  Google Scholar 

  16. — and Vesterstrøm, J.: Direct integrals of Hilbert spaces II, Math. Scand. 26 (1970) 89–102

    MathSciNet  MATH  Google Scholar 

  17. Zemanian, A.H.: Realizability theory of continuous linear systems. Mathematics in Science and Engeneering Vol. 97, New York 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of Regensburg, 84 Regensburg, Germany

    Wolfgang Hackenbroch

Authors
  1. Wolfgang Hackenbroch
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

G. Kallianpur D. Kölzow

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Hackenbroch, W. (1978). On the radon-nikodym theorem for operator measures and its applications to prediction and linear systems theory. In: Kallianpur, G., Kölzow, D. (eds) Measure Theory Applications to Stochastic Analysis. Lecture Notes in Mathematics, vol 695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062666

Download citation

  • DOI: https://doi.org/10.1007/BFb0062666

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09098-4

  • Online ISBN: 978-3-540-35556-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation