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Composition Operators with Closed Image on Spaces of Real Analytic Functions
Author(s) -
Domański P.,
Langenbruch M.
Publication year - 2006
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/s0024609306018686
Subject(s) - mathematics , composition (language) , image (mathematics) , range (aeronautics) , mathematics subject classification , operator theory , pure mathematics , computer vision , computer science , philosophy , linguistics , materials science , composite material
We characterize composition operators on spaces of real analytic functions which at the same time have closed image and are open onto their images. Under some mild assumptions, we also characterize composition operators with closed range and composition operators open onto their images. 2000 Mathematics Subject Classification 46E10, 47B33, 32C07 (primary), 26E05, 32E30, 32D15 (secondary).