Geometric Properties of Projections of Reproducing Kernels onz*-Invariant Subspaces ofH2

Letθbe an inner function and letΛbe a Blaschke sequence in the unit disc. Denote byBthe Blaschke product corresponding toΛ. Geometric properties of the family {kθ(λ, z)=(1−θ(λ) θ(z)/(1−λz)}λ∈Λin the Hardy spaceH2are studied. Some relationships between these geometric properties and characteristics of the classθB+H∞inL∞/H∞are established.