Derivations on certain matrix algebras with applications to compact groups
Samea, H. ; Abolghasemi, M.
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 361-372 / Harvested from Project Euclid
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In this paper we characterize the derivations from $\frak E_p(\widehat{G})$ into $\frak E_q(\widehat{G})$, $1\leq p,q\leq\infty$. We find necessary and sufficient conditions for weak amenability of Banach algebras $\frak E_p(\widehat{G})$, $1\leq p\leq\infty$. Moreover we find a necessary condition for the weak amenability of the convolution Banach algebra $A(G)$ on a compact group $G$, where its sufficiency was proved earlier by Ghahramani and Lau.
Publié le : 2009-05-15
Classification:  Multiplier,  Derivation,  Weak amenable Banach algebra,  46H20,  43A20 
@article{1244038146,
     author = {Samea, H. and Abolghasemi, M.},
     title = {Derivations on certain matrix algebras with applications to compact groups},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 361-372},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244038146}
}

Samea, H.; Abolghasemi, M. Derivations on certain matrix algebras with applications to compact groups. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  361-372. http://gdmltest.u-ga.fr/item/1244038146/