On the disc-convexity of complex Banach manifolds

Do Duc Thai; Nguyen Le Huong

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 1, page 1-11
  • ISSN: 0066-2216

Abstract

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The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.

How to cite

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Do Duc Thai, and Nguyen Le Huong. "On the disc-convexity of complex Banach manifolds." Annales Polonici Mathematici 69.1 (1998): 1-11. <http://eudml.org/doc/270361>.

@article{DoDucThai1998,
abstract = {The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.},
author = {Do Duc Thai, Nguyen Le Huong},
journal = {Annales Polonici Mathematici},
keywords = {Banach manifold; hyperbolic; disc-convex; disc-convexity},
language = {eng},
number = {1},
pages = {1-11},
title = {On the disc-convexity of complex Banach manifolds},
url = {http://eudml.org/doc/270361},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Do Duc Thai
AU - Nguyen Le Huong
TI - On the disc-convexity of complex Banach manifolds
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 1
SP - 1
EP - 11
AB - The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
LA - eng
KW - Banach manifold; hyperbolic; disc-convex; disc-convexity
UR - http://eudml.org/doc/270361
ER -

References

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  3. [3] G. Fischer, Complex Analytic Geometry, Lecture Notes in Math. 538, Springer, 1976. Zbl0343.32002
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  14. [14] D. D. Thai, Royden-Kobayashi pseudometric and tautness of normalizations of complex spaces, Boll. Un. Mat. Ital. A (7) 5 (1991), 147-156. Zbl0742.32018
  15. [15] H. Toruńczyk, Smooth partitions of unity on some non-separable Banach spaces, Studia Math. 66 (1973), 44-51. Zbl0251.46022
  16. [16] T. Urata, The hyperbolicity of complex analytic spaces, Bull. Aichi Univ. of Education 31 (1982), 65-75. Zbl1267.32005
  17. [17] E. Vesentini, Invariant distances and invariant differential metrics in locally convex spaces, in: Spectral Theory, Banach Center Publ. 8, PWN-Polish Sci. Publ., Warszawa, 1982, 493-512. Zbl0505.32020
  18. [18] M. Zaĭdenberg, The Picard theorem and hyperbolicity, Siberian Math. J. 24 (1983), 858-867 (English transl.). Zbl0579.32039
  19. [19] M. Zaĭdenberg, S. Kreĭn, P. Kuchment and A. Pankov, Banach bundles and linear operators, Uspekhi Mat. Nauk 30 (1975), no. 5, 101-157 (in Russian). Zbl0317.47018

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