Keywords: local derivation; standard operator algebra; locally inner derivation; symmetric norm ideal
@article{10_21136_MB_1996_125942,
author = {Moln\'ar, Lajos},
title = {Locally inner derivations of standard operator algebras},
journal = {Mathematica Bohemica},
pages = {1--7},
year = {1996},
volume = {121},
number = {1},
doi = {10.21136/MB.1996.125942},
mrnumber = {1388168},
zbl = {0863.46039},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.125942/}
}
Molnár, Lajos. Locally inner derivations of standard operator algebras. Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 1-7. doi: 10.21136/MB.1996.125942
[1] M. Brešar, P. Šemrl: Mappings which preserve idempotents, local automorphisms and local derivations. Canad. J. Math. 45 (1993), 483-496. | DOI | MR
[2] P. R. Chernoff: Representations, automorphisms and derivations of some operator algebras. J. Funct. Anal. 12 (1973), 275-289. | MR | Zbl
[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. | DOI | MR
[4] P. R. Halmos: Hilbert Space Problem Book. D. Van Nostrand Company, Princeton, New York, 1967. | MR | Zbl
[5] R. V. Kadison: Local derivations. J. Algebra 130 (1990), 494-509. | DOI | MR | Zbl
[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
[7] S. Sakai: Derivations of W*-algebras. Ann. Math. 83 (1966), 273-279. | DOI | MR
[8] P. Šemrl: Additive derivations of some operator algebras. Illinois J. Math. 35 (1991), 234-240. | DOI | MR
[9] P. Šemrl: Ring derivations on standard operator algebras. J. Funct. Anal. 112 (1993), 318-324. | DOI | MR
[10] B. Simon: Trace Ideals and Their Applications. Cambridge University Press, Cambridge, 1979. | MR | Zbl
Cité par Sources :