EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 88(102), pp. 111–121 (2010)

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2-NORMED ALGEBRAS-I

Neeraj Srivastava, S. Bhattacharya, S. N. Lal

National Academy for Scientific Development, Education and Research "Shashi Villa", Mahamanapuri Colony, B.H.U. Post Office, Varanasi 221 005, India; and Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi 221 005,India; and National Academy for Scientific Development, Education and Research "Shashi Villa", Mahamanapuri Colony, B.H.U. Post Office, Varanasi 221 005, India

Abstract: The class of 2-normed real algebras, defined in \cite{Mohammad}, as shown in \cite{Lal01b} is either void or contains only trivial algebras. In this paper, a new definition of real or complex 2-normed algebras and 2-Banach algebras are proposed. Several examples of such algebras are given.

Classification (MSC2000): 46A; 46H

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