Geodesic
A functorial approach to weak amenability for commutative Banach algebras
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 241-251

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

Let A be a commutative algebra, and let M be a bimodule over A. A derivation from A into M is a linear mapping D: A→M that satisfiesIf M is only a left A-module, by a derivation from A into M we mean a linear mapping D: A→M such thatEach A-bimodule M is trivially a left module. However, unless it is commutative, i.e.the two classes of linear operators from A into M characterized by (1) and (2), respectively, need not coincide. 
Runde, Volker. A functorial approach to weak amenability for commutative Banach algebras. Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 241-251. doi: 10.1017/S0017089500008788
@article{10_1017_S0017089500008788,
     author = {Runde, Volker},
     title = {A functorial approach to weak amenability for commutative {Banach} algebras},
     journal = {Glasgow mathematical journal},
     pages = {241--251},
     year = {1992},
     volume = {34},
     number = {2},
     doi = {10.1017/S0017089500008788},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008788/}
}
TY  - JOUR
AU  - Runde, Volker
TI  - A functorial approach to weak amenability for commutative Banach algebras
JO  - Glasgow mathematical journal
PY  - 1992
SP  - 241
EP  - 251
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008788/
DO  - 10.1017/S0017089500008788
ID  - 10_1017_S0017089500008788
ER  - 
%0 Journal Article
%A Runde, Volker
%T A functorial approach to weak amenability for commutative Banach algebras
%J Glasgow mathematical journal
%D 1992
%P 241-251
%V 34
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008788/
%R 10.1017/S0017089500008788
%F 10_1017_S0017089500008788

[1] 1.Bade, W. G., Curtis, P. C. and Dales, H. G., Amenability and weak amenability for Beurling and Lipschitz algebras, Proc. London Math. Soc. (3) 55 (1987), 359–377. Google Scholar | DOI

[2] 2.Bonsall, F. F. and Duncan, J., Complete normed algebras (Springer Verlag, 1973). Google Scholar | DOI

[3] 3.Curtis, P. C. and Loy, R. J., The structure of amenable Banach algebras, London Math. Soc. (2) 40 (1989), 89–104. Google Scholar | DOI

[4] 4.Grauert, H. and Remmert, R., Analytische Stellenalgebren (Springer Verlag, 1971). Google Scholar | DOI

[5] 5.Grønbæk, N., Commutative Banach algebras, module derivations, and semigroups, London Math. Soc. (2) 40 (1989), 137–157. Google Scholar | DOI

[6] 6.Grønbæk, N., A characterization of weakly amenable Banach algebras Studia Math. XCFV (1989), 149–162. Google Scholar | DOI

[7] 7.Helemskiῐ, A. Ya., The homology of Banach and topological algebras, (Kluwer Academic Publishers, Dordrecht-Boston-London, 1989). Google Scholar | DOI

[8] 8.Johnson, B. E., Cohomology in Banach algebras, Memoirs of the AMS 127 (1972). Google Scholar

[9] 9.Matsumura, H., Commutative algebra (W. A. Benjamin, New York, 1970). Google Scholar

Cité par Sources :