Holomorphic semigroups of holomorphic isometries
- Volume: 82, Issue: 1, page 43-49
- ISSN: 0392-7881
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topVesentini, Edoardo. "Holomorphic semigroups of holomorphic isometries." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 82.1 (1988): 43-49. <http://eudml.org/doc/289068>.
@article{Vesentini1988,
abstract = {A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.},
author = {Vesentini, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Carathéodory and Kobayashi metrics; Holomorphic isometries},
language = {eng},
month = {3},
number = {1},
pages = {43-49},
publisher = {Accademia Nazionale dei Lincei},
title = {Holomorphic semigroups of holomorphic isometries},
url = {http://eudml.org/doc/289068},
volume = {82},
year = {1988},
}
TY - JOUR
AU - Vesentini, Edoardo
TI - Holomorphic semigroups of holomorphic isometries
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1988/3//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 1
SP - 43
EP - 49
AB - A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
LA - eng
KW - Carathéodory and Kobayashi metrics; Holomorphic isometries
UR - http://eudml.org/doc/289068
ER -
References
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