Skip to main content

Orthogonally scattered dilation of Hilbert space valued set functions

  • Conference paper
  • First Online:
Measure Theory Oberwolfach 1981

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 945))

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 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. Abreu J.L. (1970). A note on harmonizable and stationary sequences. Bol. Soc. Mat. Mexicana 15, 48–51.

    MathSciNet  MATH  Google Scholar 

  2. Dubinsky E., Pełczyński A. and Rosenthal H.P. (1972). On Banach spaces X for which Π2(L ,X) Studia Math. 44, 617–648.

    MathSciNet  MATH  Google Scholar 

  3. Dunford N. and Schwartz J. (1958). Linear Operators Vol. I, Interscience, N. Y.

    MATH  Google Scholar 

  4. Diestel J. and Uhl J.J. (1977). Vector measures, Mathematical Surveys. Number 15. American Mathematical Society, Providence, R.I.

    Book  MATH  Google Scholar 

  5. Gilbert J.E. and Leih T.J. (1980). Factorization, tensor products, and bilinear forms in Banach space theory, p. 182–305 in Notes in Banach spaces, Ed. Lacey H.E.: Univ. Texas Press, Austin and London.

    Google Scholar 

  6. Goldstein S. and Jajte R. (1981). Second-order fields over W *-algebras. Preprint.

    Google Scholar 

  7. Grothendieck A. (1956). Résumé de la théorie métrique des produits tensoriels topologiques. Bol. Soc. Mat. Sào Paulo 8, 1–79.

    MATH  Google Scholar 

  8. Halmos, P. (1967). A Hilbert space problem book. Springer-Verlag, N.Y.

    MATH  Google Scholar 

  9. Lindenstrauss J. and Pełczyński A. (1968) Absolutely summing operators in Lp-spaces and their applications. Studia Math. 29, 275–326.

    MathSciNet  MATH  Google Scholar 

  10. Lindenstrauss J. and Tzafiri L. (1977). Classical Banch spaces I. Springer-Verlag, Berlin.

    Book  Google Scholar 

  11. Miamee A.G. and Salehi H. (1978). Harmonizability, V-boundedness and stationary dilation of stochastic processes. Indiana Univ. Math. J. 27, 37–50.

    Article  MathSciNet  MATH  Google Scholar 

  12. Masani P. (1978). Dilations as propagators of Hilbertian varieties. SIAM J. Math. Anal. 9, 414–456.

    Article  MathSciNet  MATH  Google Scholar 

  13. Niemi H. (1975). Stochastic processes as Fourier transforms of stochastic measures. Ann. Acad. Sci. Fenn. Ser. A I 591, 1–47.

    MathSciNet  MATH  Google Scholar 

  14. Niemi H. (1977). Un orthogonally scattered dilations of bounded vector measures. Ann. Acad. Sci. Fenn. Ser. A I 3, 43–52.

    MathSciNet  MATH  Google Scholar 

  15. Niemi H. (1980). On the construction of the Wold decomposition for non-stationary stochastic processes. Probability and Mathematical Statistics 1, 73–82.

    MathSciNet  MATH  Google Scholar 

  16. Niemi H. (1981). Orthogonally scattered dilations of finitely additive vector measures with values in a Hilbert space. Preprint.

    Google Scholar 

  17. Pietsch A. (1967). Absolut p-summierende Abbildungen in normierten Räumen. Studia Math. 28, 333–353.

    MathSciNet  MATH  Google Scholar 

  18. Pietsch A. (1969). p-majorisierbare vektorwertige Mass. Wiss. Z. Friedrich-Schiller-Univ. Jena, Math.-Natur. Reihe 18 243–247.

    MathSciNet  MATH  Google Scholar 

  19. Pisier G. (1978). Grothendieck's theorem for non-commutative C*-algebras, with an appendix on Grothendieck's constants. J. Funct. Anal. 29, 397–415.

    Article  MathSciNet  MATH  Google Scholar 

  20. Rosenberg M. (1980). Minimum-trace quasi-isometric dilations of operator-valued measures and minium-trace orthogonally-scattered dilations of multivariate vector measures. Preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

D. Kölzow D. Maharam-Stone

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Chatterji, S.D. (1982). Orthogonally scattered dilation of Hilbert space valued set functions. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1981. Lecture Notes in Mathematics, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096684

Download citation

  • DOI: https://doi.org/10.1007/BFb0096684

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11580-9

  • Online ISBN: 978-3-540-39324-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics