Continuity of systems of derivations on $F$-algebras
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- by R. L. Carpenter PDF
- Proc. Amer. Math. Soc. 30 (1971), 141-146 Request permission
Abstract:
Let A be a commutative semisimple F-algebra with identity, and let ${D_0},{D_1}, \cdots$ be a system of derivations from A into the algebra of all continuous functions on the spectrum of A. It is shown that the transformations ${D_0},{D_1}, \cdots$ are necessarily continuous. This result is used to obtain a characterization of derivations on ${\text {Hol}}(\Omega )$ where $\Omega$ is an open polynomially convex subset of ${C^n}$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 141-146
- MSC: Primary 46.55; Secondary 32.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0283574-5
- MathSciNet review: 0283574