A characterization of linear automorphisms of the Euclidean ball

• Autorzy: Hidetaka Hamada , Hidetaka Hamada
• Języki publikacji: EN

Abstrakty

EN

Let B be the open unit ball for a norm on $ℂ^n$. Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on $ℂ^n$. Moreover, in the case of the Euclidean ball 𝔹, we show that f is a linear automorphism of 𝔹 under this condition.

Słowa kluczowe

EN

automorphism; complex extreme point; totally real; non-pluripolar; Schwarz lemma

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 72
• Numer: 1
• Strony: 79-85

Daty

wydano

1999

otrzymano

1998-11-03

Twórcy

autor

Hidetaka Hamada

• Faculty of Engineering, Kyushu Kyoritsu University, 1-8 Jiyugaoka Yahatanishi-ku, Kitakyushu 807-8585, Japan

autor

Hidetaka Hamada

• Ariake National College of Technology, 150 Higashihagio-machi, Omuta, Fukuoka 836-8585, Japan

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