Albrecht Böttcher

Technische Universität Chemnitz, Karl-Marx-Stadt, Saxony, Germany

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Publications (2)1.14 Total impact

  • Albrecht Böttcher, Harald Heidler
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    ABSTRACT: Given a compact Hausdorff spaceX, we may associate with every continuous mapa: X X a composition operatorC a onC(X) by the rule(C a f)(x) = f(a(x)). We describe all self-mapsa for whichC a is an algebraic operator or an essentially algebraic operator (i.e. an operator algebraic modulo compact operators), determine the characteristic polynomialp a (z) and the essentially characteristic polynomialq a (z) in these cases and show how the connectivity ofX may be characterized in terms of the quotientsp a (z)/q a (z).
    Aequationes Mathematicae 01/1995; 49(1):276-294. · 0.42 Impact Factor
  • Albrecht Böttcher, Harald Heidler
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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.
    Integral Equations and Operator Theory 01/1992; 15(3):389-411. · 0.71 Impact Factor

Publication Stats

2 Citations
1.14 Total Impact Points


  • 1992
    • Technische Universität Chemnitz
      Karl-Marx-Stadt, Saxony, Germany