zbMATH — the first resource for mathematics

An inequality for trace ideals. (English) Zbl 0449.47036

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
Full Text: DOI
[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
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.