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Maximum principle for holomorphic mappings in complex matrix space. (Chinese. English summary) Zbl 1014.32011

Combining matrix and complex analysis, the author applies the classical maximum principle to power series of a complex matrix and obtains the maximum principle in the complex matrix space of holomorphic mappings under generalized matrix norm and \(F\)-norm.

MSC:

32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
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