Properties of the Product of Two Derivations of a C*-Algebra
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 490-497

Voir la notice de l'article provenant de la source Cambridge University Press

Let δ1,δ2 be two derivations of a C*-algebra. We characterize when δ1δ2 is a derivation, a compact, or a weakly compact operator
DOI : 10.4153/CMB-1989-072-4
Mots-clés : 46L40, 47B05, 47B47
Mathieu, Martin. Properties of the Product of Two Derivations of a C*-Algebra. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 490-497. doi: 10.4153/CMB-1989-072-4
@article{10_4153_CMB_1989_072_4,
     author = {Mathieu, Martin},
     title = {Properties of the {Product} of {Two} {Derivations} of a {C*-Algebra}},
     journal = {Canadian mathematical bulletin},
     pages = {490--497},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-072-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-072-4/}
}
TY  - JOUR
AU  - Mathieu, Martin
TI  - Properties of the Product of Two Derivations of a C*-Algebra
JO  - Canadian mathematical bulletin
PY  - 1989
SP  - 490
EP  - 497
VL  - 32
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-072-4/
DO  - 10.4153/CMB-1989-072-4
ID  - 10_4153_CMB_1989_072_4
ER  - 
%0 Journal Article
%A Mathieu, Martin
%T Properties of the Product of Two Derivations of a C*-Algebra
%J Canadian mathematical bulletin
%D 1989
%P 490-497
%V 32
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-072-4/
%R 10.4153/CMB-1989-072-4
%F 10_4153_CMB_1989_072_4

[1] 1. Akemann, C A., Wright, S., Compact and weakly compact derivations of C*-algebras, Pac. J. Math. 85 (1979), 253–259. Google Scholar

[2] 2. Fong, C. K., A. R. Sourour, On the operator identity ∑,AXB = °> Canad. J. Math. 31 (1979), 845–857. +Canad.+J.+Math.+31+(1979),+845–857.>Google Scholar

[3] 3. Herstein, I. N., Rings with involution, Chicago Lectures in Mathematics, Chicago, London, 1976. Google Scholar

[4] 4. Ho, Y., A note on derivations, Bull. Inst. Math. Acad. Sinica 5 (1977), 1–5. Google Scholar

[5] 5. Martindale, W. S., Miers, C. R., On the iterates of derivations of prime rings, Pac. J. Math. 104 (1983), 179–190. Google Scholar

[6] 6. Mathieu, M., Elementary operators on prime C*-algebras, II, Glasgow Math. J. 30 (1988), 275–284. Google Scholar

[7] 7. Mathieu, M., Central bimodule homomorphisms of C*-algebras, in preparation. Google Scholar

[8] 8. Miers, C. R., J. Phillips, Algebraic inner derivations on operator algebras, Canad. J. Math. 35 (1983), 710–723. Google Scholar

[9] 9. Posner, E. C., Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100. Google Scholar

[10] 10. Sakai, S., C*-algebras and W*-algebras, Springer Verlag, Berlin, 1971. Google Scholar

[11] 11. Stampfli, J. G., The norm of a derivation, Pac. J. Math. 33 (1970), 737–747. Google Scholar

[12] 12. Tsui, S.-K., Compact derivations on von Neumann algebras, Canad. Math. Bull. 24 (1981), 87–90. Google Scholar

[13] 13. Williams, J. P., On the range of a derivation, Pac. J. Math. 38 (1971), 273–279. Google Scholar

[14] 14. Ylinen, K., Weakly completely continuous elements of C*-algebras, Proc. Amer. Math. Soc. 52 (1975), 323–326. Google Scholar

Cité par Sources :