• Title, Summary, Keyword: k-hyperreflexive subspace

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A NOTE ON k-HYPERREFLEXIVITY OF TOEPLITZ-HARMONIC SUBSPACES

  • Budzynski, Piotr;Piwowarczyk, Kamila;Ptak, Marek
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1727-1733
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    • 2014
  • 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 decom-posable subspace $\mathcal{S}$ and an abelian von Neumann algebra $\mathcal{V}$ is established.