A note on composition operators on spaces of real analytic functions

Tom 103 / 2012

Paweł Domański, Michał Goliński, Michael Langenbruch Annales Polonici Mathematici 103 (2012), 209-216 MSC: Primary 46E10, 47B33, 32C07; Secondary 26E05, 32D15. DOI: 10.4064/ap103-2-8

Streszczenie

We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map $\varphi $ such that the associated composition operator is not open onto its image.

Autorzy

  • Paweł DomańskiInstitute of Mathematics (Poznań branch)
    Polish Academy of Sciences
    Umultowska 87
    61-614 Poznań, Poland
    e-mail
  • Michał GolińskiFaculty of Mathematics and Computer Science
    Adam Mickiewicz University Poznań
    Umultowska 87
    61-614 Poznań, Poland
    e-mail
  • Michael LangenbruchDepartment of Mathematics
    University of Oldenburg
    D-26111 Oldenburg, Germany
    e-mail

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