The best linear methods and values of widths for some classes of analytic functions in the Bergman weight space

摘要

1. Suppose that X is an arbitrary Banach space; S is the unit ball in X; is a convex centrally symmetric set in X; L_n ? X is an n-dimensional linear subspace; L~n ? X is a subspace of codimension n; and ?(X, L_n) is the set of all bounded linear operators {Λ} mapping X to L_n.