Idempotents in an ultrametric Banach algebra

نویسندگان

چکیده

Let IK be a complete ultrametric field and let A unital commutative Banach IK-algebra. Suppose that the multiplicative spectrum admits partition in two open closed subsets. Then there exist unique idempotents u, v ϵ such ϕ (u) = 1, (v) 0 ∀ U, 1 V . is algebraically closed. If an element x has empty annulus r < |ξ − a| s its sp(x), then 1; whenever (x a) ≤ 0; ≥ s.

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ژورنال

عنوان ژورنال: Cubo

سال: 2021

ISSN: ['0716-7776', '0719-0646']

DOI: https://doi.org/10.4067/s0719-06462021000100161