Batikyan, B. T. Point derivations on algebraic extension of Banach algebra. (English) Zbl 0966.46025 Lobachevskii J. Math. 6, 33-37 (2000). 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 Keywords:carrier space; algebraic extension; commutative Banach algebra; branch point; local point derivation PDFBibTeX XMLCite \textit{B. T. Batikyan}, Lobachevskii J. Math. 6, 33--37 (2000; Zbl 0966.46025) Full Text: EuDML EMIS