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- W1964533613 abstract "We give an alternative description of the Carathéodory pseudodistance on a domain D in an arbitrary complex Banach space. This gives a Schwarz lemma for holomorphic maps of the domain.We specialise to the case of a bounded symmetric domain and obtain some applications. In particular, we give the connected components of the space of composition operators with symbol in a bounded symmetric domain. This generalises results for the space of composition operators on $$ H^infty (Delta) $$ in [12] and for $$ H^infty (B) $$ , B the unit ball of a Hilbert space or commutative C*-algebra in [2]." @default.
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- W1964533613 date "2004-04-01" @default.
- W1964533613 modified "2023-10-14" @default.
- W1964533613 title "A Schwarz Lemma and Composition Operators" @default.
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- W1964533613 doi "https://doi.org/10.1007/s00020-003-1240-1" @default.
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