Piotr Budzy\'nski, Kamila Piwowarczyk, and Marek Ptak Uniwersytet Rolniczy w Krakowie, Uniwersytet Rolniczy w Krakowie, Uniwersytet Rolniczy w Krakowie
Abstract : The 2-hyperreflexivity of Toeplitz-harmonic type subspace generated by an isometry or a quasinormal operator is shown. The $k$-hyperreflexivity of the tensor product $\ss\otimes \vv$ of a $k$-hyperreflexive decomposable subspace $\ss$ and an abelian von Neumann algebra $\vv$ is established.