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Point derivations on algebraic extension of Banach algebra. (English) Zbl 0966.46025

Summary: It is shown that a point \(y_0\) in the carrier space of algebraic extension \(B\) of a commutative Banach algebra \(A\) is a branch point if and only if there exists a local point derivation on \(B\) at \(y_0\), whose kernel contains \(A\).

MSC:

46J05 General theory of commutative topological algebras
46H40 Automatic continuity
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