A Radon-nikodym-theorem for operators with an application to spectral theory

  • M. Wolff
Special Topics
Part of the Lecture Notes in Physics book series (LNP, volume 29)


Compact Space Banach Lattice Lattice Isomorphism Order Continuous Norm Positive Radon Measure 
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  1. 1.
    Bichteler, K.: Integration Theory (with special attentions to vector measures) Lecture Notes in Mathematics 315, Berlin-Heidelberg-New York: Springer Verlag 1973.Google Scholar
  2. 2.
    Birkhoff, G.: Lattice Theory, 3rd ed., AMS Coll. Publ. XXV (1967)Google Scholar
  3. 3.
    Bourbaki, N.: Elements de Mathematique, Livre VI: Integration, chap. II-IV, Paris: Herman et Cie, 1956.Google Scholar
  4. 4.
    Goullet de Rugy, A.: Representation of Banach lattices, this volume.Google Scholar
  5. 5.
    Hackenbroch, W.: Zum Radon-Nikodymschen Satz in Vektorverbänden, Manuskript 1972.Google Scholar
  6. 6.
    Hulanicki, A., Phelps, R. R.: Some applications of tensor products of partially-ordered linear spaces, J. Funct. Anal. 2, 177–201 (1968).CrossRefGoogle Scholar
  7. 7.
    Lotz, H. P.: Über das Spektrum positiver Operatoren, Math. Z. 108, 15–32 (1968).CrossRefGoogle Scholar
  8. 8.
    Luxemburg, W.A.J., Zaanen, A.C.: The linear modulus of an order-bounded linear transformation,Indag. Math. 33, 422–437 (1971).Google Scholar
  9. 9.
    Mittelmeyer, G., Wolff, M.: Über ein einheitliches Axiomensystem für Vektorverbände über IR und C und den Absolutbetrag ordnungsbeschränkter Operatoren, to be published.Google Scholar
  10. 10.
    Nagel, R. J.: Ordnungsstetigkeit in Banachverbänden, Manuscripta math. 9, 9–27 (1973).CrossRefGoogle Scholar
  11. 11.
    Nagel, R. J., Schlotterbeck, U.: Integraldarstellungen regulärer Operatoren auf Banachverbänden, Math. Z, 127, 293–3oo (1972).CrossRefGoogle Scholar
  12. 12.
    Peressini, A. L., Sherbert, D. R.: Ordered topological tensor products, Proc. London Math. Soc. 19, 177–19o (1969).Google Scholar
  13. 13.
    Schaefer, H. H.: Topological vector spaces, 3rd printing, Berlin-Heidelberg-New York: Springer 1971.Google Scholar
  14. 14.
    Schaefer, H. H.: On the characteristic roots of real matrices, Proc. AMS 28, 91–92 (1971).Google Scholar
  15. 15.
    Schaefer, H. H.: On representation of Banach lattices by continuous numerical functions, Math. Z, 125, 215–232 (1972)CrossRefGoogle Scholar
  16. 16.
    Schaefer, H, H.: Orderings of vector spaces, this volume.Google Scholar
  17. 17.
    Wolff, M.: Darstellung von Banach-Verbänden und Sätze vom Korovkinn-Typ, Math. Annal. 200, 47–67 (1973).CrossRefGoogle Scholar
  18. 18.
    Wolff, M.: Über das Randspektrum gewisser komplexer ordnungsbeschränkter Operatoren, to be published.Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • M. Wolff
    • 1
  1. 1.Abteilung Mathematik der Universität DortmundDortmundGermany

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