A characterization of linear automorphisms of the Euclidean ball

Hidetaka Hamada; Tatsuhiro Honda

Annales Polonici Mathematici (1999)

  • Volume: 72, Issue: 1, page 79-85
  • ISSN: 0066-2216

Abstract

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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 , we show that f is a linear automorphism of under this condition.

How to cite

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Hamada, Hidetaka, and Honda, Tatsuhiro. "A characterization of linear automorphisms of the Euclidean ball." Annales Polonici Mathematici 72.1 (1999): 79-85. <http://eudml.org/doc/262853>.

@article{Hamada1999,
abstract = {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 , we show that f is a linear automorphism of under this condition.},
author = {Hamada, Hidetaka, Honda, Tatsuhiro},
journal = {Annales Polonici Mathematici},
keywords = {automorphism; complex extreme point; totally real; non-pluripolar; Schwarz lemma; complex extreme points},
language = {eng},
number = {1},
pages = {79-85},
title = {A characterization of linear automorphisms of the Euclidean ball},
url = {http://eudml.org/doc/262853},
volume = {72},
year = {1999},
}

TY - JOUR
AU - Hamada, Hidetaka
AU - Honda, Tatsuhiro
TI - A characterization of linear automorphisms of the Euclidean ball
JO - Annales Polonici Mathematici
PY - 1999
VL - 72
IS - 1
SP - 79
EP - 85
AB - 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 , we show that f is a linear automorphism of under this condition.
LA - eng
KW - automorphism; complex extreme point; totally real; non-pluripolar; Schwarz lemma; complex extreme points
UR - http://eudml.org/doc/262853
ER -

References

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