caa a22 4500 469043482 CHVBK 20180323132817.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF01200326 doi (NATIONALLICENCE)springer-10.1007/BF01200326 Algebraic composition operators [Elektronische Daten] [Albrecht Böttcher, Harald Heidler] 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. Birkhäuser Verlag, 1992 Primary 47B38 nationallicence Secondary 05C90 nationallicence 20B25 nationallicence 30H05 nationallicence 39B32 nationallicence 47A62 nationallicence Böttcher Albrecht Fachbereich Mathematik, Technische Universität Chemnitz, PSF 964, O-9010, Chemnitz, Germany aut Heidler Harald Fachbereich Mathematik, Technische Universität Chemnitz, PSF 964, O-9010, Chemnitz, Germany aut Integral Equations and Operator Theory Birkhäuser-Verlag 15/3(1992-05-01), 389-411 0378-620X 15:3<389 1992 15 20 https://doi.org/10.1007/BF01200326 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01200326 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Böttcher Albrecht Fachbereich Mathematik, Technische Universität Chemnitz, PSF 964, O-9010, Chemnitz, Germany aut NATIONALLICENCE 700 1- Heidler Harald Fachbereich Mathematik, Technische Universität Chemnitz, PSF 964, O-9010, Chemnitz, Germany aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag 15/3(1992-05-01), 389-411 0378-620X 15:3<389 1992 15 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer