Bounded analytic sets in Banach spaces

Volker Aurich

Annales de l'institut Fourier (1986)

  • Volume: 36, Issue: 4, page 229-243
  • ISSN: 0373-0956

Abstract

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Conditions are given which enable or disable a complex space X to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of X .

How to cite

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Aurich, Volker. "Bounded analytic sets in Banach spaces." Annales de l'institut Fourier 36.4 (1986): 229-243. <http://eudml.org/doc/74737>.

@article{Aurich1986,
abstract = {Conditions are given which enable or disable a complex space $X$ to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of $X$.},
author = {Aurich, Volker},
journal = {Annales de l'institut Fourier},
keywords = {bounded closed analytic subset of a Banach space; Radon-Nikodym property; completeness of the Caratheodory metric},
language = {eng},
number = {4},
pages = {229-243},
publisher = {Association des Annales de l'Institut Fourier},
title = {Bounded analytic sets in Banach spaces},
url = {http://eudml.org/doc/74737},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Aurich, Volker
TI - Bounded analytic sets in Banach spaces
JO - Annales de l'institut Fourier
PY - 1986
PB - Association des Annales de l'Institut Fourier
VL - 36
IS - 4
SP - 229
EP - 243
AB - Conditions are given which enable or disable a complex space $X$ to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of $X$.
LA - eng
KW - bounded closed analytic subset of a Banach space; Radon-Nikodym property; completeness of the Caratheodory metric
UR - http://eudml.org/doc/74737
ER -

References

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  3. [3] V. AURICH, Über die Lösungsmengen analytischer semi-Fredholmscher Gleichungen, Habilitationsschrift, München, 1983. 
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