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MR ZblJajte, Ryszard. On some versions of Jensen's inequality on operator algebras. Mathematica slovaca, Tome 47 (1997) no. 3, pp. 303-311. http://geodesic.mathdoc.fr/item/MASLO_1997_47_3_a7/
@article{MASLO_1997_47_3_a7,
author = {Jajte, Ryszard},
title = {On some versions of {Jensen's} inequality on operator algebras},
journal = {Mathematica slovaca},
pages = {303--311},
year = {1997},
volume = {47},
number = {3},
mrnumber = {1796334},
zbl = {1053.47505},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1997_47_3_a7/}
}
[1] ANDO T.: Topics on Operator Inequalities. Lecture Notes, Hokkaido University, Sapporo, 1978. | MR | Zbl
[2] ASH R. B.: Real Analysis and Probability. Academic Press, New York-San Francisco, 1972. | MR
[3] BEREZIN F. A.: Convex operator functions. Mat. Sb. 88 (1972), 268-276. (Russian) | MR
[4] BROWN L. G.-KOSAKI H.: Jensen's inequality in semifinite von Neumann algebras. J. Operator Theory 15 (1986), 205-225.
[5] DAVIS O.: A Schwarz inequality for convex operator functions. Proc. Amer. Math. Soc. 8 (1957), 42-44. | MR | Zbl
[6] DAVIS O.: Notions generalizing convexity for functions defined on spaces of matrices. Proc. Amer. Math. Soc. Symposia (Convexity) 7 (1963), 187-201. | MR | Zbl
[7] HANSEN F.: An operator inequality. Math. Ann. 246 (1980), 249-250. | MR | Zbl
[8] HANSEN F.-PEDERSEN G. K.: Jensen's inequality for operators and Lowner's theorem. Math. Ann. 258 (1982), 229-241. | MR
[9] JENSEN I. L. W. V.: Sur les fonctions convexes et les inegalites entre les valeurs moyennes. Acta Math. 30 (1906), 175-193. | MR
[10] JAJTE R.: Jensen's inequality for Schwarz maps in von Neumann algebras. Probab. Math. Statist. 12 (1991), 251-254. | MR | Zbl
[11] LINDBLAD G.: Expectations and entropy inequalities for finite quantum systems. Comm. Math. Phys. 39 (1974), 111-119. | MR | Zbl
[12] PETZ D.: Jensen's inequality for positive contractions on operator algebras. Proc. Amer. Math. Soc. 99 (1987), 273-277. | MR | Zbl
[13] SIMON B.: Trace Ideals and Their Applications. Cambridge Univ. Press, Cambridge, 1979. | MR | Zbl
[14] STINESPRING W. F.: Positive functions on C*-algebras. Proc. Amer. Math. Soc. 6 (1965), 211-216. | MR
[15] TAKESAKI M.: Operator Algebras I. Springer-Verlag, Berlin-New York, 1979. | MR | Zbl