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 language | English |
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Pages (from-to) | 135-143 |
Number of pages | 9 |
Journal | Publications de l institut mathematique-Beograd |
Volume | 90 |
Issue number | 104 |
DOIs | |
Publication status | Published - 2011 |
Keywords
- nema