We prove an identity theorem for Gâteaux holomorphic functions on polygonally connected 
-open sets, which yields a very general maximum norm principle and a sublinear “max-min” principle. All results apply in particular to vector-valued functions which are holomorphic (in any sense that implies Gâteaux holomorphy) on domains in Hausdorff locally convex spaces.
On the maximum modulus principle and the identity theorem in arbitrary dimension
Timofte, Vlad
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carpathian_2022_38_2_517_522Additional Information
| Author(s) | Timofte, Vlad |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2022.02.20 |
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