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Algebraic composition operators

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Abstract

The focus of this paper is on the following problem. Given a linear space F of complex-valued functions on a set X and a polynomial p(z), is there an algebraic composition operator on F whose characteristic polynomial equals p(z)? We show that the supply of all the polynomials p(z) for which the answer to this question is affirmative depends heavily on the structure of the space F.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Chemnitz, PSF 964, O-9010, Chemnitz, Germany

    Albrecht Böttcher & Harald Heidler

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  1. Albrecht Böttcher
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  2. Harald Heidler
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Böttcher, A., Heidler, H. Algebraic composition operators. Integr equ oper theory 15, 389–411 (1992). https://doi.org/10.1007/BF01200326

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  • DOI: https://doi.org/10.1007/BF01200326

MSC 1991

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