Idempotents in an ultrametric Banach algebra
Let IK be a complete ultrametric field and let A be a unital commutative ultrametric Banach IK-algebra. Suppose that the multiplicative spectrum admits a partition in two open closed subsets. Then there exist unique idempotents u, v ∈ A such that φ(u) = 1, φ(v) = 0 ∀φ ∈ U, φ(u) = 0 φ(v) = 1 ∀φ ∈ V....
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2021-04-01
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| Series: | Cubo |
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| Online Access: | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2607/2058 |