ACTA issues

$C_0$-semigroups of holomorphic Carathéodory isometries in reflexive TRO

László L. Stachó

Acta Sci. Math. (Szeged) 84:3-4(2018), 439-450

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.)