Invariant metrics on convex cones

Edoardo Vesentini

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)

  • Volume: 3, Issue: 4, page 671-696
  • ISSN: 0391-173X

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Vesentini, Edoardo. "Invariant metrics on convex cones." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.4 (1976): 671-696. <http://eudml.org/doc/83734>.

@article{Vesentini1976,
author = {Vesentini, Edoardo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {671-696},
publisher = {Scuola normale superiore},
title = {Invariant metrics on convex cones},
url = {http://eudml.org/doc/83734},
volume = {3},
year = {1976},
}

TY - JOUR
AU - Vesentini, Edoardo
TI - Invariant metrics on convex cones
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1976
PB - Scuola normale superiore
VL - 3
IS - 4
SP - 671
EP - 696
LA - eng
UR - http://eudml.org/doc/83734
ER -

References

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  1. [1] C. Caratheodory, Über das Schwarzsche Lemma bei analytischen Funktionen von zwei komplexen Veränderlichen, Math. Ann., 97 (1926), pp. 76-98; Gesammelte Mathematische Schriften, vol. IV, pp. 132-159, C. H. BECK'SCHE Verlagsbuchhandlung, München, 1956. Zbl52.0345.02MR1512355JFM52.0345.02
  2. [2] C. Caratheodory, Über eine spezielle Metrik, die in der Theorie der analytischen Funktionen auftritt, Atti della Pontificia Accademia delle Scienze Nuovi Lincei, 80 (1927), pp. 135-141; Gesammelte Mathematische Schriften, vol. IV, pp. 160-166. JFM53.0314.01
  3. [3] C. Caratheodory, Über die Geometrie der analytischen Abbildungen, die durch analytische Funktionen von zwei Veränderlichen vermittelt werden, Abhandl. Math. Sem. Univ. Hamburg, 6 (1928), pp. 97-145; Gesammelte Mathematische Schriften, vol. IV, pp. 167-227. Zbl54.0372.04JFM54.0372.04
  4. [4] J. Dixmier, Les C* algèbres et leur représentations, Paris, Gauthier -Villars, 1964. Zbl0152.32902MR171173
  5. [5] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien (Algèbres de von Neumann), II édition, Paris, Gauthier-Villars, 1969. Zbl0175.43801
  6. [6] N. Dunford - J.T. Schwartz, Linear operators, Part I, New York, Academic Press, 1958. Zbl0084.10402
  7. [7] E. Hille - R.S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Coll. Publ., 31, Providence R.I., 1974. Zbl0392.46001MR423094
  8. [8] S. Kobayashi, Invariant distances on complex manifolds and holomorphic mappings, J. Math. Soc. Japan, 19 (1967), pp. 460-480. Zbl0158.33201MR232411
  9. [9] S. Kobayashi, Hyperbolic manifolds and holomorphic mappings, New York, M. Dekker, 1970. Zbl0207.37902MR277770
  10. [10] S. Kobayashi - K. Nomizu, Foundations of differential geometry, vol. I, New York, Wiley, 1963. Zbl0119.37502MR1393940
  11. [11] M. Koecher, Positivitätsbereiche im Rn, Amer. J. Math., 79 (1957), pp. 575-596. Zbl0078.01205MR90771
  12. [12] M.A. Naimark, Normed rings, Groningen, Noordhoff, 1964. Zbl0137.31703MR355601
  13. [13] C.E. Rickart, General theory of Banach algebras, New York, Van Nostrand, 1960. Zbl0095.09702MR115101
  14. [14] O.S. Rothaus, Domains of positivity, Abh. Math. Sem.Univ. Hamburg, 24 (1960), pp. 189-235. Zbl0096.27903MR121810
  15. [15] S. Sakai, C*-algebras and W*-algebras, Heidelberg, Springer-Verlag, 1971. Zbl0219.46042MR442701
  16. [16] E.B. Vinberg, The theory of convex homogeneous cones, Trans. Moscow Math. Soc., 12 (1963), pp. 340-403. Zbl0138.43301MR158414

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