Alternative noetherian Banach algebras.
Benslimane, M. ; Boudi, N.
Extracta Mathematicae, Tome 12 (1997), p. 41-46 / Harvested from Biblioteca Digital de Matemáticas
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Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.

Publié le : 1997-01-01
DMLE-ID : 1325 
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     title = {Alternative noetherian Banach algebras.},
     journal = {Extracta Mathematicae},
     volume = {12},
     year = {1997},
     pages = {41-46},
     zbl = {0894.46035},
     mrnumber = {MR1482412},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38513}
}

Benslimane, M.; Boudi, N. Alternative noetherian Banach algebras.. Extracta Mathematicae, Tome 12 (1997) pp. 41-46. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38513/