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Isometries of the Bloch space among the composition operators
Author(s) -
Martín María J.,
Vukotić Dragan
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdl012
Subject(s) - mathematics , bloch space , composition (language) , space (punctuation) , pure mathematics , class (philosophy) , set (abstract data type) , symbol (formal) , composition operator , compact space , hilbert space , multiplication operator , computer science , artificial intelligence , philosophy , linguistics , programming language , operating system
We characterize all isometries among the composition operators acting on the Bloch space in terms of the hyperbolic derivative and cluster set of the symbol, and display a class of nontrivial examples.