A linear Radon-Nikodym type theorem for C * -algebras with applications to measure theory

George Maltese; Gerd Niestegge

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 2, page 345-354
  • ISSN: 0391-173X

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Maltese, George, and Niestegge, Gerd. "A linear Radon-Nikodym type theorem for $C^\ast $-algebras with applications to measure theory." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.2 (1987): 345-354. <http://eudml.org/doc/84009>.

@article{Maltese1987,
author = {Maltese, George, Niestegge, Gerd},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {linear Radon-Nikodým type theorem for -algebras; positive bounded linear functional; absolutely continuous; Sakai theorem of Radon- Nikodym type},
language = {eng},
number = {2},
pages = {345-354},
publisher = {Scuola normale superiore},
title = {A linear Radon-Nikodym type theorem for $C^\ast $-algebras with applications to measure theory},
url = {http://eudml.org/doc/84009},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Maltese, George
AU - Niestegge, Gerd
TI - A linear Radon-Nikodym type theorem for $C^\ast $-algebras with applications to measure theory
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 2
SP - 345
EP - 354
LA - eng
KW - linear Radon-Nikodým type theorem for -algebras; positive bounded linear functional; absolutely continuous; Sakai theorem of Radon- Nikodym type
UR - http://eudml.org/doc/84009
ER -

References

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  2. [2] S. Bochner, - R.S. Phillips.Additive set functions and vector lattices, Ann. of Math. (2) 42 (1941), 316-324. Zbl0026.00104MR4079JFM67.0162.02
  3. [3] R.S. Bucy - G. Maltese.A representation theorem for positive functionals on involution algebras, Math. Ann.162 (1966), 364-367. Zbl0132.10804MR203499
  4. [4] J. Dixmier.Les algèbres d'opérateurs dans l' espace hilbertien, 2. edition. Gauthier-Villars, Paris (1969). 
  5. [5] J. Dixmier.Les C*-algèbres et leurs representations, Gauthier-Villars, Paris (1969). Zbl0174.18601MR246136
  6. [6] N. Dunford - J.T. Schwarz.Linear operators I, Interscience, New York (1958). Zbl0084.10402
  7. [7] C. Fefferman.A Radon-Nikodym theorem for finitely additive set functions, Pacific J. Math.23 (1967), 35-45. Zbl0181.14801MR215956
  8. [8] A. Grothendieck.Un résultat sur le dual d'une C*-algèbre, J. Math. Pures Appl.36 (1957), 96-108. Zbl0083.10401MR89377
  9. [9] S.P. Gudder.A Radon-Nikodym theorem for *-algebras, Pacific J. Math.80 (1979), 141-149. Zbl0406.46055MR534703
  10. [10] G. Niestegge.Absolute continuity for linear forms on B*-algehras and a Radon-Nikodym type theorem (quadratic version), Rend. Circ. Mat. Palermo32 (1983), 358-376. Zbl0534.46044MR743199
  11. [11] G. Niestegge.Sätze vom Radon-Nikodym-Typ für Funktionale auf B*-Algebren, Schriftenreihe des Math. Instituts der Universität Münster, 2. Serie, Heft 22 (1981). Zbl0474.46051MR644803
  12. [12] G.K. Pedersen.C*-algebras and their automorphism groups, Academic Press, London (1979). Zbl0416.46043MR548006
  13. [13] S. Sakai.C*-algebras and W*-algebras, Springer Verlag, Berlin (1971). Zbl0219.46042MR442701
  14. [14] S. Stratila - L. Zsido.Lectures on von Neumann algebras, Abakus Press, Tunbridge Wells, Kent (1979). Zbl0391.46048MR526399
  15. [15] A. Van Daele.A Radon-Nikodym theorem for weights on von Neumann algebras, Pacific J. Math.61 (1975), 527-542. Zbl0325.46068MR410408

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