2-normed algebras-II

Neeraj Srivastava, S. Bhattacharya, S.N. Lal
2011 Publications de l'Institut Mathématique (Beograd)  
In the first part of the paper [5], we gave a new definition of real or complex 2-normed algebras and 2-Banach algebras. Here we give two examples which establish that not all 2-normed algebras are normable and a 2-Banach algebra need not be a 2-Banach space. We conclude by deriving a new and interesting spectral radius formula for 1-Banach algebras from the basic properties of 2-Banach algebras and thus vindicating our definitions of 2-normed and 2-Banach algebras given in [5] .
doi:10.2298/pim1104135s fatcat:3mha7sdra5bvfd4s2j56aib57e