×

Inequalities for traces on von Neumann algebras. (English) Zbl 0257.46101


MSC:

46L10 General theory of von Neumann algebras
47C15 Linear operators in \(C^*\)- or von Neumann algebras
47A30 Norms (inequalities, more than one norm, etc.) of linear operators
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ruelle, D.: Statistical mechanics. Rigorous results. Section 2.5. New York: Benjamin 1969. · Zbl 0177.57301
[2] Golden, S.: Phys. Rev.137 B, 1127 (1965).
[3] Thompson, C. J.: J. Math. Phys.6, 1812 (1965). · doi:10.1063/1.1704727
[4] Araki, H., Lieb, E. H.: Commun. math. Phys.18, 160 (1970). · doi:10.1007/BF01646092
[5] Dixmier, J.: Les algebres d’operateurs dans l’espace Hilbertien (Algebres de von Neumann). Paris: Gauthier-Villars 1969.
[6] Lanford, O. E.: Selected topics in functional analysis. In Statistical Mechanics and Quantum Field Theory” (ed. C. DeWitt and R. Stora). New York: Gordon and Breach 1971.
[7] Kunze, R. A.: Trans. Am. Math. Soc.89, 519 (1958).
[8] Ogasawara, T.: J. Sci. Hiroshima Univ., Ser. A18, 311 (1955).
[9] Royden, H. L.: Real analysis. New York: MacMillan 1963. · Zbl 0121.05501
[10] Nelson, E.: Topics in dynamics I: Flows. Princeton Math. Notes (1969). · Zbl 0197.10702
[11] Reed, M. C., Simon, B.: Methods of mathematical physics. Vol. I: Elementary functional analysis. New York: Academic Press 1972. · Zbl 0242.46001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.