Boundary structure of bounded symmetric domains

Authors
Citation
W. Kaup et J. Sauter, Boundary structure of bounded symmetric domains, MANUSC MATH, 101(3), 2000, pp. 351-360
Citations number
11
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
101
Issue
3
Year of publication
2000
Pages
351 - 360
Database
ISI
SICI code
0025-2611(200002)101:3<351:BSOBSD>2.0.ZU;2-3
Abstract
Let D be a bounded symmetric domain realized as the open unit ball of a com plex Banach space E and denote for every a is an element of D by s(a) the s ymmetry of D about a. We show that for every boundary point c is an element of partial derivative D the locally uniform limit s(c) := lim(a-->c) s(a) exists as holomorphic map s(c) : D --> E and has values in the boundary par tial derivative D of D.