On some versions of Jensen's inequality on operator algebras
Mathematica Slovaca (1997)
- Volume: 47, Issue: 3, page 303-311
- ISSN: 0139-9918
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top- ANDO T., Topics on Operator Inequalities, Lecture Notes, Hokkaido University, Sapporo, 1978. (1978) Zbl0388.47024MR0482378
- ASH R. B., Real Analysis and Probability, Academic Press, New York-San Francisco, 1972. (1972) MR0435320
- BEREZIN F. A., Convex operator functions, Mat. Sb. 88 (1972), 268-276. (Russian) (1972) MR0300121
- BROWN L. G.-KOSAKI H., Jensen's inequality in semifinite von Neumann algebras, J. Operator Theory 15 (1986), 205-225. (1986)
- DAVIS O., A Schwarz inequality for convex operator functions, Proc. Amer. Math. Soc. 8 (1957), 42-44. (1957) Zbl0080.10505MR0084120
- DAVIS O., Notions generalizing convexity for functions defined on spaces of matrices, Proc. Amer. Math. Soc. Symposia (Convexity) 7 (1963), 187-201. (1963) Zbl0196.30303MR0155837
- HANSEN F., An operator inequality, Math. Ann. 246 (1980), 249-250. (1980) Zbl0407.47012MR0563403
- HANSEN F.-PEDERSEN G. K., Jensen's inequality for operators and Lowner's theorem, Math. Ann. 258 (1982), 229-241. (1982) MR1513286
- JENSEN I. L. W. V., Sur les fonctions convexes et les inegalites entre les valeurs moyennes, Acta Math. 30 (1906), 175-193. (1906) MR1555027
- JAJTE R., Jensen's inequality for Schwarz maps in von Neumann algebras, Probab. Math. Statist. 12 (1991), 251-254. (1991) Zbl0772.46035MR1199776
- LINDBLAD G., Expectations and entropy inequalities for finite quantum systems, Comm. Math. Phys. 39 (1974), 111-119. (1974) Zbl0294.46052MR0363351
- PETZ D., Jensen's inequality for positive contractions on operator algebras, Proc. Amer. Math. Soc. 99 (1987), 273-277. (1987) Zbl0622.46044MR0870784
- SIMON B., Trace Ideals and Their Applications, Cambridge Univ. Press, Cambridge, 1979. (1979) Zbl0423.47001MR0541149
- STINESPRING W. F., Positive functions on C*-algebras, Proc. Amer. Math. Soc. 6 (1965), 211-216. (1965) MR0069403
- TAKESAKI M., Operator Algebras I, Springer-Verlag, Berlin-New York, 1979. (1979) Zbl0436.46043MR0548728