2-normed algebras-II

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

Research output: Contribution to journalArticle

Abstract

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].

Original languageEnglish
Pages (from-to)135-143
Number of pages9
JournalPublications de l institut mathematique-Beograd
Volume90
Issue number104
DOIs
Publication statusPublished - 2011

Keywords

  • nema

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