Point derivations on algebraic extension of Banach algebra

B. T. Batikyan

Institute of Mathematics, National Academy of Sciences of Armenia

Abstract: It is shown that a point $y_0$ in the carrier space of algebraic extension $B$ of 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 $A$.

Submitted by: M. A. Malakhaltsev
Received: 25.05.2000

Language: English

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