TY - THES A1 - Plewnia, Eckart T1 - Approximationstheorie homogener Polynome auf Banachräumen Y1 - 1997 ER - TY - BOOK A1 - Plewnia, Eckart T1 - Homogeneous polynomials on Banach spaces T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1995 VL - 1995, 5 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Junek, Heinz A1 - Braunß, Hans-Andreas A1 - Plewnia, Eckart T1 - Approximation numbers for polynomials N2 - Approximation numbers of linear operators are a very useful tool in order to understand the structure and the numerical behaviour of the operators. In this paper, this concept is extended to polynomials on Banach spaces and the approximation numbers of diagonal polynomials are estimated. As a main tool the rank of polynomials as a graduation of finite type polynomials is introduced and studied. Y1 - 2000 ER -