On norms of operators over spaces of abstract-valued functions

Irina Peterburgsky

Department of Mathematics and Computer Science
Suffolk University
41 Temple Street
Boston, MA 02114, USA

We introduce a wide range of operators over classes of analytic functions with codomains in normed linear spaces, and study extremal problems for these operators. Several classical results for scalar-valued functions including the well-known Landau coefficient problem have been generalized for function spaces and operators under consideration.