Abstract. 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.
Abstract. The 2-hyperreflexivity of Toeplitz-harmonic type subspace generated by an isometry or a quasinormal operator is shown. The khyperreflexivity of the tensor product S ⊗ V of a k-hyperreflexive decomposable subspace S and an abelian von Neumann algebra V is established.
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