Ring homomorphisms on real Banach algebras
Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous. If A is a commutative complex Banach algebra, then ρ(A) is contained in...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203302352 |
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| Summary: | Let B be a strictly real commutative real Banach algebra with
the carrier space ΦB. If A is a commutative real Banach
algebra, then we give a representation of a ring homomorphism
ρ:A→B, which needs not be linear nor
continuous. If A is a commutative complex Banach algebra, then
ρ(A) is contained in the radical of B. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |