On the maximum modulus principle and the identity theorem in arbitrary dimension


Timofte, Vlad 


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We prove an identity theorem for Gâteaux holomorphic functions on polygonally connected 2-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.

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Author(s)

Timofte, Vlad 

DOI

https://doi.org/10.37193/CJM.2022.02.20