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Point derivations of function algebras generated by holomorphic functions


Authors: R. G. M. Brummelhuis and P. J. de Paepe
Journal: Proc. Amer. Math. Soc. 105 (1989), 117-120
MSC: Primary 46J15
DOI: https://doi.org/10.1090/S0002-9939-1989-0933512-8
MathSciNet review: 933512
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Abstract: It is shown that a continuous point derivation on the algebra $ H(X)$ consisting of uniform limits on $ X$ of functions holomorphic in a neighborhood of a compact subset $ X$ in $ {{\mathbf{C}}^n}$, which vanishes on the polynomials is the trivial derivation.


References [Enhancements On Off] (What's this?)

  • [BdP] R. G. M. Brummelhuis and P. J. de Paepe, Derivations on algebras of holomorphic functions, Department of Math., Univ. of Amsterdam, Preprint Series 87-23, 1987 .
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DOI: https://doi.org/10.1090/S0002-9939-1989-0933512-8
Article copyright: © Copyright 1989 American Mathematical Society

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