Invariant subspaces of ${\mathcal{H}}^2({\mathbb{T}}^2)$ and $L^2({\mathbb{T}}^2)$ preserving compatibility

Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1

Operators of multiplication by independent variables on the space of square summable functions over the torus and its Hardy subspace are considered. Invariant subspaces where the o…