Singular traces and compact operators

Journal of Functional Analysis

Volumn 137, Issue 2, 1996, Pages 281-302

  Albeverio, S ^a   Guido, D ^b   Ponosov, A ^a   Scarlatti, S ^c  

^a SFB 237 ^*

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030138719     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0047     Document Type: Article

References (16)

1. [AFHKL] S. ALBEVERIO, J. E. FENSTAD, R. HØEGH-KROHN, AND T. LINDSTRØM, "Nonstandard Methods in Stochastic Analysis and Mathematical Physics," Academic Press, Orlando, 1986.
2. [AGPS1] S. ALBEVERIO, D. GUIDO, A. PONOSOV, AND S. SCARLATTI, Dixmier traces and nonstandard analysis, in "Proceedings of the III International Conference, Stochastic Processes: Physics and Geometry, Locarno, June 1991" (S. Albeverio, U. Cattaneo, and D. Merlini, Eds.), World Scientific, Singapore, 1995.
3. [AGPS2] S. ALBEVERIO, D. GUIDO, A. PONOSOV, AND S. SCARLATTI, Nonstandard representation of nonnormal traces, in "Proceedings of the German-French ZiF-Meeting, Dynamics of the Complex and Irregular Systems, Bielefeld, Germany, Dec. 1991" (Ph. Blanchard, L. Streit, and D. Testard, Eds.), World Scientific, Singapore, 1993.
4. [AGPS3] S. ALBEVERIO, D. GUIDO, A. PONOSOV, AND S. SCARLATTI, Singular traces and non-standard analysis, in "Proceedings of the Blaubeuren Conference on NonStandard Analysis, 1992" (S. Albeverio, W. A. J. Luxemburg, and M. Wolff, Eds.), Kluwer, Dordrecht, 1995.
5. [C] A. CONNES, "Géometrie non commutative," Intereditions, Paris, 1990.
6. [D1] J. DIXMIER, "Von Neumann Algebras," North Holland, Amsterdam, 1981.
7. [D2] J. DIXMIER, Existences de traces non normales, C.R. Acad. Sci. Paris 262 (1966).
8. [E] R. E. EDWARDS, "Functional Analysis, Theory and Applications," New York, 1965.
9. [G] I. GLICKSBERG, Stone-Čech compactifications of products, Trans. Amer. Math. Soc. 90 (1959).
10. [GK] I. GOHBERG AND M. G. KREIN, "Introduction to the Theory of Non-selfadjoint Operators," Moscow, 1985.
11. [HL] A. E. HURD AND P. A. LOEB, "An Introduction to Non-standard Real Analysis," Academic Press, Orlando, 1985.
12. [KM] G. KELLER AND L. C. MOORE JR., Invariant means on the group of integers, in "Analysis and Geometry" (B. Fuchssteiner and W. A. J. Luxemburg, Eds), Vol. 1 Wissenschaftsverlag, 1992.
13. [L] W. A. J. LUXEMBURG, Nonstandard hulls, generalized limits and almost convergence, in "Analysis and Geometry" (B. Fuchssteiner and W. A. J. Luxemburg, Eds.), Vol. 19, Wissenschaftsverlag, 1992.
14. [Ma] R. MANÉ, "Ergodic Theory and Differentiable Dynamics," Springer, Berlin/Heidelberg/New York, 1987.
15. [S] R. SCHATTEN, "Norm Ideals of Completely Continuous Operators," Springer, Berlin/Heidelberg/New York, 1970.
16. [V] J. V. VARGA, Traces on irregular ideals, Proc. Amer. Math. Soc. 107 (1989), 715.