Araki, Huzihiro; Yamagami, Shigeru An inequality for Hilbert-Schmidt norm. (English) Zbl 0468.47013 Commun. Math. Phys. 81, 89-96 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 32 Documents 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 Keywords:Hilbert-Schmidt norm; von Neumann algebras; states; Bures distance PDF BibTeX XML Cite \textit{H. Araki} and \textit{S. Yamagami}, Commun. Math. Phys. 81, 89--96 (1981; Zbl 0468.47013) Full Text: DOI 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 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.