Displaying similar documents to “The socle and finite-dimensionality of a semiprime Banach algebra”

Alternative noetherian Banach algebras.

M. Benslimane, N. Boudi (1997)

Extracta Mathematicae


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.