The group of biholomorphic automorphisms of symmetric Siegel domains and its topology

José-María Isidro; Jean-Pierre Vigué

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 3, page 343-351
  • ISSN: 0391-173X

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Isidro, José-María, and Vigué, Jean-Pierre. "The group of biholomorphic automorphisms of symmetric Siegel domains and its topology." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.3 (1984): 343-351. <http://eudml.org/doc/83935>.

@article{Isidro1984,
author = {Isidro, José-María, Vigué, Jean-Pierre},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {group of biholomorphic automorphisms; bounded symmetric circular domain; Siegel domain; Cayley transform},
language = {eng},
number = {3},
pages = {343-351},
publisher = {Scuola normale superiore},
title = {The group of biholomorphic automorphisms of symmetric Siegel domains and its topology},
url = {http://eudml.org/doc/83935},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Isidro, José-María
AU - Vigué, Jean-Pierre
TI - The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 3
SP - 343
EP - 351
LA - eng
KW - group of biholomorphic automorphisms; bounded symmetric circular domain; Siegel domain; Cayley transform
UR - http://eudml.org/doc/83935
ER -

References

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  1. [1] N. Dunford - J. Schwartz, Linear operators, part I. Interscience publishers, Inc., New York (1957). Zbl0084.10402
  2. [2] T. Franzoni, The group of biholomorphic automorphisms in certain J*-algebras, Ann. Mat. Pura Appl. (4), 127 (1981), pp. 51-66. Zbl0483.46051MR633394
  3. [3] T. Franzoni - E. Visentini, Holomorphic maps and invariant distances, North-Holland, Amsterdam (1980). Zbl0447.46040MR563329
  4. [4] M. Greenberg, Lectures on algebraic topology, Benjamin, Inc., New York (1967). Zbl0169.54403MR215295
  5. [5] L. Harris, Bounded symmetric homogeneous domains in ifnite dimensional spaces, Lecture Notes n° 364 (1974), pp. 13-40, Springer-Verlag, Berlin. Zbl0293.46049MR407330
  6. [6] L. Harris, Schwarz-Pick system of pseudometrics for domains in normed linear spaces, in Advances in Holomorphy, J. Barroso editor, North-Holland, Amsterdam (1979), pp. 345-406. Zbl0409.46053MR520667
  7. [7] L. Harris - W. Kaup, Linear algebraic groups in infinite dimensions, Illinois J. Math., 21 (1977), pp. 666-674. Zbl0385.22011MR460551
  8. [8] W. Kaup - H. Upmeier, Jordan Algebras and symmetric Siegel domains in Banach spaces, Math. Z., 157 (1977) pp. 179-200. Zbl0357.32018MR492414
  9. [9] S. Sakai, C*-algebras and W*-algebras, Ergebnisse der Mathematik, 60, Springer-Verlag, Berlin (1971). Zbl0219.46042MR442701
  10. [10] J.-P. Vigué, Le groupe des automorphismes analytiques dun domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques, Ann. Sci. École Norm. Sup. (4), 9 (1976), pp. 203-282. Zbl0333.32027MR430335
  11. [11] J.P. Vigué, Frontière des domaines bornés cerclés homogènes, C. R. Acad. Sci. Sci. Paris, 288A (1979), pp. 657-660. Zbl0403.32016MR534524
  12. [12] J.-P. Vigué - J.-M. Isidro, Sur la topologie du groupe des automorphismes analytiques d'un domaine cerclé borné, Bull. Sci. Math. (2), 106 (1982), pp. 417-426. Zbl0546.32012MR688200

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