Geodesic
2-normed Algebras-II
Publications de l'Institut Mathématique, _N_S_90 (2011) no. 104, p. 135

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In \cite{Srivastava}, we have given 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 \cite{Srivastava}.
Classification : 46A 46H 
@article{PIM_2011_N_S_90_104_a9,
     author = {Neeraj Srivastava and S. Bhattacharya and S. N. Lal},
     title = {2-normed {Algebras-II}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {135 },
     publisher = {mathdoc},
     volume = {_N_S_90},
     number = {104},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2011_N_S_90_104_a9/}
}
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Neeraj Srivastava; S. Bhattacharya; S. N. Lal. 2-normed Algebras-II. Publications de l'Institut Mathématique, _N_S_90 (2011) no. 104, p. 135 . http://geodesic.mathdoc.fr/item/PIM_2011_N_S_90_104_a9/