Additive mappings on rings of holomorphic functions
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- by R. B. Burckel and Sadahiro Saeki PDF
- Proc. Amer. Math. Soc. 89 (1983), 79-85 Request permission
Abstract:
Additive maps $T$ between rings of holomorphic functions, which satisfy the multiplier-like condition $T(zf) = \phi T(f)$ for some $\phi$ and all $f$, are characterized. No linearity or continuity assumptions are made. Earlier results by L. Bers on homomorphisms and by J. Becker on derivations are corollaries.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 79-85
- MSC: Primary 30H05; Secondary 46E25
- DOI: https://doi.org/10.1090/S0002-9939-1983-0706515-0
- MathSciNet review: 706515