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An inequality for Hilbert-Schmidt norm. (English) Zbl 0468.47013

##### MSC:
 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.) 46L30 States of selfadjoint operator algebras 81T05 Axiomatic quantum field theory; operator algebras 47A30 Norms (inequalities, more than one norm, etc.) of linear operators
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##### References:
 [1] Araki, H.: Publ. RIMS Kyoto Univ.6, 385–442 (1971) · Zbl 0227.46061 · doi:10.2977/prims/1195193913 [2] Araki, H.: Pac. J. Math.50, 309–354 (1974) [3] von Neumann, J.: Actual. Sci. Ind.299, (1935) [4] Powers, R.T. and Størmer, E.: Commun. Math. Phys.16, 1–33 (1970) · Zbl 0186.28301 · doi:10.1007/BF01645492
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