|
Abstract. We refine earlier results concerning the structure of strongly continuous one-parameter semigroups ($C_0$-SGR) of holomorphic Carathéodory isometries of the unit ball in infinite-dimensional reflexive TROs (ternary rings of operators) We achieve finite algebraic formulas for them in terms of joint boundary fixed points and Möbius charts.
DOI: 10.14232/actasm-018-761-3
AMS Subject Classification
(1991): 47D03, 32H15, 46G20
Keyword(s):
Carathéodory distance,
isometry,
fixed point,
holomorphic map,
$C_0$-semigroup,
infinitesimal generator,
JB*-triple,
Möbius transformation,
Cartan factor,
ternary ring of operators (TRO)
Received January 16, 2018 and in final form April 26, 2018. (Registered under 11/2018.)
|