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Geometric properties of composition operators belonging to Schatten classes

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  • Yongsheng Zhu

Abstract

We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto's conjectures and show a new compact composition operator which is not in any of the Schatten classes.

Suggested Citation

  • Yongsheng Zhu, 2001. "Geometric properties of composition operators belonging to Schatten classes," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 26, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:752509
    DOI: 10.1155/S0161171201003726
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