Holomorphic isometries of Cartan domains of type one

Edoardo Vesentini

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 1, page 65-72
  • ISSN: 1120-6330

Abstract

top
Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.

How to cite

top

Vesentini, Edoardo. "Holomorphic isometries of Cartan domains of type one." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.1 (1991): 65-72. <http://eudml.org/doc/244303>.

@article{Vesentini1991,
abstract = {Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.},
author = {Vesentini, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Cartan domain; Kobayashi metric; Holomorphic isometry; Hilbert space; holomorphic isometry; space of bounded linear maps; semigroup of holomorphic mappings; stability semigroup; linear isometric isomorphism},
language = {eng},
month = {3},
number = {1},
pages = {65-72},
publisher = {Accademia Nazionale dei Lincei},
title = {Holomorphic isometries of Cartan domains of type one},
url = {http://eudml.org/doc/244303},
volume = {2},
year = {1991},
}

TY - JOUR
AU - Vesentini, Edoardo
TI - Holomorphic isometries of Cartan domains of type one
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/3//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 1
SP - 65
EP - 72
AB - Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.
LA - eng
KW - Cartan domain; Kobayashi metric; Holomorphic isometry; Hilbert space; holomorphic isometry; space of bounded linear maps; semigroup of holomorphic mappings; stability semigroup; linear isometric isomorphism
UR - http://eudml.org/doc/244303
ER -

References

top
  1. FRANZONI, T., The group of holomorphic automorphisms in certain J * -algebras. Ann. Mat. Pura Appl., (4) 127, 1981, 51-66. Zbl0483.46051MR633394DOI10.1007/BF01811718
  2. FRANZONI, T. - VESENTINI, E., Holomorphic maps and invariant distances. North Holland, Amsterdam-New York-Oxford1980. Zbl0447.46040MR563329
  3. HARRIS, L. A., Bounded symmetric homogeneous domains in infinite dimensional spaces. Lecture notes in mathematics, n. 364, Springer Verlag, Berlin1974, 13-40. Zbl0293.46049MR407330
  4. KLINGEN, H., Diskontinuierliche Gruppen in symmetrischen Räumen. I. II. Math. Ann., 129, 1955, 345-369; 130, 1955, 137-146. Zbl0066.33003MR80771
  5. KLINGEN, H., Über die analytischen Abbildungen verallgemeinerter Einheitkreise auf sich. Math. Ann., 132, 1956, 134-144. Zbl0071.07701MR87751
  6. SIEGEL, C. L., Symplectic geometry. Amer. J. Math., 65, 1943, 1-86. Zbl0138.31401MR8094
  7. VESENTINI, E., Holomorphic families of holomorphic isometries. Lecture notes in mathematics, n. 1277, Springer Verlag, Berlin1987, 291-302. Zbl0643.32009MR922341DOI10.1007/BFb0078252
  8. VESENTINI, E., Semigroups on Kreĭn spaces. Mem. Mat. Acc. Lincei, s. 9, v. 1, 1990, 3-29. Zbl0737.47038MR1080982

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.