Multiplicative norms on Banach algebras
1951 ◽
Vol 47
(3)
◽
pp. 473-474
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Keyword(s):
The Real
◽
1. Mazur(1) has shown that any normed algebra A over the real field in which the norm is multiplicative in the sense thatis equivalent (i.e. algebraically isomorphic and isometric under one and the same mapping) to one of the following algebras: (i) the real numbers, (ii) the complex numbers, (iii) the real quaternions, each of these sets being regarded as normed algebras over the real field. Completeness of A is not assumed by Mazur. A relevant discussion is given also in Lorch (2).
1969 ◽
Vol 21
◽
pp. 1309-1318
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1980 ◽
Vol 32
(5)
◽
pp. 1045-1057
◽
1964 ◽
Vol 7
(1)
◽
pp. 101-119
◽
1987 ◽
Vol 102
(3)
◽
pp. 481-505
◽
Keyword(s):