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arxiv: 1311.1333 · v1 · pith:Q336S5PRnew · submitted 2013-11-06 · 🧮 math.FA

A note on k-hyperreflexivity of Toeplitz-harmonic subspaces

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keywords mathcalhyperreflexivitysubspacetoeplitz-harmonicabelianalgebradecomposableestablished
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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.

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