arXiv subjects
Publications and source records attributed to Kamila Piwowarczyk.
Power partial isometries are not always hyperreflexive neither reflexive. In the present paper it will be shown that power partial isometries are always hyporeflexive and $2$--hyperreflexive.
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 $\mathcal{S}\otimes \mathcal{V}$ of a $k$-hyperreflexive decomposable subspace $\mathcal{S}$ and an abelian von Neumann algebra $\mathcal{V}$ is established.