| Title:
|
On some versions of Jensen's inequality on operator algebras (English) |
| Author:
|
Jajte, Ryszard |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
303-311 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L10 |
| MSC:
|
47A63 |
| idZBL:
|
Zbl 1053.47505 |
| idMR:
|
MR1796334 |
| . |
| Date available:
|
2009-09-25T11:23:04Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132558 |
| . |
| Reference:
|
[1] ANDO T.: Topics on Operator Inequalities.Lecture Notes, Hokkaido University, Sapporo, 1978. Zbl 0388.47024, MR 0482378 |
| Reference:
|
[2] ASH R. B.: Real Analysis and Probability.Academic Press, New York-San Francisco, 1972. MR 0435320 |
| Reference:
|
[3] BEREZIN F. A.: Convex operator functions.Mat. Sb. 88 (1972), 268-276. (Russian) MR 0300121 |
| Reference:
|
[4] BROWN L. G.-KOSAKI H.: Jensen's inequality in semifinite von Neumann algebras.J. Operator Theory 15 (1986), 205-225. |
| Reference:
|
[5] DAVIS O.: A Schwarz inequality for convex operator functions.Proc. Amer. Math. Soc. 8 (1957), 42-44. Zbl 0080.10505, MR 0084120 |
| Reference:
|
[6] DAVIS O.: Notions generalizing convexity for functions defined on spaces of matrices.Proc. Amer. Math. Soc. Symposia (Convexity) 7 (1963), 187-201. Zbl 0196.30303, MR 0155837 |
| Reference:
|
[7] HANSEN F.: An operator inequality.Math. Ann. 246 (1980), 249-250. Zbl 0407.47012, MR 0563403 |
| Reference:
|
[8] HANSEN F.-PEDERSEN G. K.: Jensen's inequality for operators and Lowner's theorem.Math. Ann. 258 (1982), 229-241. MR 1513286 |
| Reference:
|
[9] JENSEN I. L. W. V.: Sur les fonctions convexes et les inegalites entre les valeurs moyennes.Acta Math. 30 (1906), 175-193. MR 1555027 |
| Reference:
|
[10] JAJTE R.: Jensen's inequality for Schwarz maps in von Neumann algebras.Probab. Math. Statist. 12 (1991), 251-254. Zbl 0772.46035, MR 1199776 |
| Reference:
|
[11] LINDBLAD G.: Expectations and entropy inequalities for finite quantum systems.Comm. Math. Phys. 39 (1974), 111-119. Zbl 0294.46052, MR 0363351 |
| Reference:
|
[12] PETZ D.: Jensen's inequality for positive contractions on operator algebras.Proc. Amer. Math. Soc. 99 (1987), 273-277. Zbl 0622.46044, MR 0870784 |
| Reference:
|
[13] SIMON B.: Trace Ideals and Their Applications.Cambridge Univ. Press, Cambridge, 1979. Zbl 0423.47001, MR 0541149 |
| Reference:
|
[14] STINESPRING W. F.: Positive functions on C*-algebras.Proc. Amer. Math. Soc. 6 (1965), 211-216. MR 0069403 |
| Reference:
|
[15] TAKESAKI M.: Operator Algebras I.Springer-Verlag, Berlin-New York, 1979. Zbl 0436.46043, MR 0548728 |
| . |
