HOLOMORPHIC AUTOMORPHISMS OF THE UNIT BALLS OF HILBERT C$^*$-MODULES
Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 249-262
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We show that every Hilbert C$^*$-module $E$ is a JB$^*$-triple in a canonical way, establish an explicit expression for the holomorphic automorphisms of the unit ball of $E$, discuss the existence of fixed points for these automorphisms and give sufficient conditions for $E$ to have the density property.
ISIDRO, JOSÉ M. HOLOMORPHIC AUTOMORPHISMS OF THE UNIT BALLS OF HILBERT C$^*$-MODULES. Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 249-262. doi: 10.1017/S0017089503001216
@article{10_1017_S0017089503001216,
author = {ISIDRO, JOS\'E M.},
title = {HOLOMORPHIC {AUTOMORPHISMS} {OF} {THE} {UNIT} {BALLS} {OF} {HILBERT} {C}$^*${-MODULES}},
journal = {Glasgow mathematical journal},
pages = {249--262},
year = {2003},
volume = {45},
number = {2},
doi = {10.1017/S0017089503001216},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001216/}
}
TY - JOUR AU - ISIDRO, JOSÉ M. TI - HOLOMORPHIC AUTOMORPHISMS OF THE UNIT BALLS OF HILBERT C$^*$-MODULES JO - Glasgow mathematical journal PY - 2003 SP - 249 EP - 262 VL - 45 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001216/ DO - 10.1017/S0017089503001216 ID - 10_1017_S0017089503001216 ER -
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