TY - JOUR A1 - Braunß, Hans-Andreas T1 - On holomorphic mappings of Schatten class type Y1 - 1992 ER - TY - JOUR A1 - Braunß, Hans-Andreas A1 - Junek, Heinz T1 - Factorization of injective ideals by interpolation N2 - We construct a factorization of certain multilinear mappings through linear operators belonging to closed, injective operator ideals using interpolation technique. An extension of the duality theorem for interpolation spaces is also obtained. Y1 - 2004 SN - 0022-247x ER - TY - JOUR A1 - Junek, Heinz A1 - Braunß, Hans-Andreas A1 - Botelho, Geraldo T1 - Almost p-summing polynomials and multilinear mappings N2 - For several applications it is very useful to classify the linear or non-linear mappings by their summability properties. Absolutely summing operators and polynomials are prominent and classical examples of such setting. Here we are interested in the larger class of almost summing polynomials and we investigate their connections to other related notions of summability. Y1 - 2001 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 -