On some versions of Jensen's inequality on operator algebras

Ryszard Jajte

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 3, page 303-311
  • ISSN: 0232-0525

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Jajte, Ryszard. "On some versions of Jensen's inequality on operator algebras." Mathematica Slovaca 47.3 (1997): 303-311. <http://eudml.org/doc/32298>.

@article{Jajte1997,
author = {Jajte, Ryszard},
journal = {Mathematica Slovaca},
keywords = {Jensen's inequality; noncommutative polynomial; positive linear map},
language = {eng},
number = {3},
pages = {303-311},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On some versions of Jensen's inequality on operator algebras},
url = {http://eudml.org/doc/32298},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Jajte, Ryszard
TI - On some versions of Jensen's inequality on operator algebras
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 3
SP - 303
EP - 311
LA - eng
KW - Jensen's inequality; noncommutative polynomial; positive linear map
UR - http://eudml.org/doc/32298
ER -

References

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  2. ASH R. B., Real Analysis and Probability, Academic Press, New York-San Francisco, 1972. (1972) MR0435320
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  4. BROWN L. G.-KOSAKI H., Jensen's inequality in semifinite von Neumann algebras, J. Operator Theory 15 (1986), 205-225. (1986) 
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  6. 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
  7. HANSEN F., An operator inequality, Math. Ann. 246 (1980), 249-250. (1980) Zbl0407.47012MR0563403
  8. HANSEN F.-PEDERSEN G. K., Jensen's inequality for operators and Lowner's theorem, Math. Ann. 258 (1982), 229-241. (1982) MR1513286
  9. JENSEN I. L. W. V., Sur les fonctions convexes et les inegalites entre les valeurs moyennes, Acta Math. 30 (1906), 175-193. (1906) MR1555027
  10. JAJTE R., Jensen's inequality for Schwarz maps in von Neumann algebras, Probab. Math. Statist. 12 (1991), 251-254. (1991) Zbl0772.46035MR1199776
  11. LINDBLAD G., Expectations and entropy inequalities for finite quantum systems, Comm. Math. Phys. 39 (1974), 111-119. (1974) Zbl0294.46052MR0363351
  12. PETZ D., Jensen's inequality for positive contractions on operator algebras, Proc. Amer. Math. Soc. 99 (1987), 273-277. (1987) Zbl0622.46044MR0870784
  13. SIMON B., Trace Ideals and Their Applications, Cambridge Univ. Press, Cambridge, 1979. (1979) Zbl0423.47001MR0541149
  14. STINESPRING W. F., Positive functions on C*-algebras, Proc. Amer. Math. Soc. 6 (1965), 211-216. (1965) MR0069403
  15. TAKESAKI M., Operator Algebras I, Springer-Verlag, Berlin-New York, 1979. (1979) Zbl0436.46043MR0548728

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