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An inequality for trace ideals. (English) Zbl 0449.47036

MSC:
47L30 Abstract operator algebras on Hilbert spaces
47A30 Norms (inequalities, more than one norm, etc.) of linear operators
47C15 Linear operators in \(C^*\)- or von Neumann algebras
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[1] Spohn, H., Lebowitz, J.L.: Commun. Math. Phys.54, 97 (1977) · doi:10.1007/BF01614132
[2] van Hemmen, J.L.: The Mattis random magnet as an isotopically disordered harmonic crystal. Heidelberg (preprint) (1980)
[3] Kato, T.: Perturbation theory for linear operators. Chap. X, Theorem 4.4. Berlin, Heidelberg, New York: Springer 1966 · Zbl 0148.12601
[4] Donoghue, Jr., W.F.: Monotone matrix functions and analytic continuation. Berlin, Heidelberg, New York: Springer 1974 · Zbl 0278.30004
[5] Ringrose, J.R.: Compact non-self-adjoint operators. London: Van Nostrand Reinhold 1971 · Zbl 0223.47012
[6] Simon, B.: Trace ideals and their applications. Cambridge: University Press 1979 · Zbl 0423.47001
[7] Powers, R.T., Størmer, E.: Commun. Math. Phys.16, 1 (1970) · Zbl 0186.28301 · doi:10.1007/BF01645492
[8] Dixmier, J.: LesC*-algèbres et leurs représentations, p. 17. Paris: Gauthier-Villars 1964
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