Publications de l'Institut Mathématique, Nouvelle SérieVol. 90(105), pp. 135–143 (2011)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 90(105), pp. 135–143 (2011) |
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2-NORMED ALGEBRAS-IINeeraj Srivastava, S. Bhattacharya, S. N. LalNational Academy for Scientific Development, Education and Research "Shashi Villa", Banaras Hindu University, Varanasi, India; Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, IndiaAbstract: 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 (MSC2000): 46A, 46H Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 16 Nov 2011. This page was last modified: 30 Nov 2011.
© 2011 Mathematical Institute of the Serbian Academy of Science and Arts
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