| Title:
|
Locally inner derivations of standard operator algebras (English) |
| Author:
|
Molnár, Lajos |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
1-7 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that every locally inner derivation on a symmetric norm ideal of operators is an inner derivation. (English) |
| Keyword:
|
local derivation |
| Keyword:
|
standard operator algebra |
| Keyword:
|
locally inner derivation |
| Keyword:
|
symmetric norm ideal |
| MSC:
|
46L40 |
| MSC:
|
46L57 |
| MSC:
|
47B47 |
| MSC:
|
47D25 |
| MSC:
|
47D50 |
| MSC:
|
47L30 |
| idZBL:
|
Zbl 0863.46039 |
| idMR:
|
MR1388168 |
| DOI:
|
10.21136/MB.1996.125942 |
| . |
| Date available:
|
2009-09-24T21:14:21Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125942 |
| . |
| Reference:
|
[1] M. Brešar, P. Šemrl: Mappings which preserve idempotents, local automorphisms and local derivations.Canad. J. Math. 45 (1993), 483-496. MR 1222512, 10.4153/CJM-1993-025-4 |
| Reference:
|
[2] P. R. Chernoff: Representations, automorphisms and derivations of some operator algebras.J. Funct. Anal. 12 (1973), 275-289. Zbl 0252.46086, MR 0350442 |
| Reference:
|
[3] C. K. Fong C. R. Miers, A. R. Sourour: Lie and Jordan ideals of operators on Hilbert space.Proc. Amer. Math. Soc. 84 (1982), 516-520. MR 0643740, 10.1090/S0002-9939-1982-0643740-0 |
| Reference:
|
[4] P. R. Halmos: Hilbert Space Problem Book.D. Van Nostrand Company, Princeton, New York, 1967. Zbl 0144.38704, MR 0208368 |
| Reference:
|
[5] R. V. Kadison: Local derivations.J. Algebra 130 (1990), 494-509. Zbl 0751.46041, MR 1051316, 10.1016/0021-8693(90)90095-6 |
| Reference:
|
[6] D. R. Larson, A. R. Sourour: Local derivations and local automorphisms of B(X).Proc. Sympos. Pure Math. 51. Part 2, Providence, Rhode Island 1990, pp. 187-194. MR 1077437 |
| Reference:
|
[7] S. Sakai: Derivations of W*-algebras.Ann. Math. 83 (1966), 273-279. MR 0193528, 10.2307/1970432 |
| Reference:
|
[8] P. Šemrl: Additive derivations of some operator algebras.Illinois J. Math. 35 (1991), 234-240. MR 1091440, 10.1215/ijm/1255987893 |
| Reference:
|
[9] P. Šemrl: Ring derivations on standard operator algebras.J. Funct. Anal. 112 (1993), 318-324. MR 1213141, 10.1006/jfan.1993.1035 |
| Reference:
|
[10] B. Simon: Trace Ideals and Their Applications.Cambridge University Press, Cambridge, 1979. Zbl 0423.47001, MR 0541149 |
| . |
