Minimal invariant subspaces for an affine composition operator

João R. Carmo, Ben Hur Eidt, S. Waleed Noor

The composition operator $C_{{\varphi }_a}f=f\circ {\varphi }_a$ on the Hardy-Hilbert space $H^2(\mathbb{D})$ with affine symbol ${\varphi }_a(z)=az+1-a$ and $0<a<1$ has the property that the Invariant Subspa…