A NOTE ON k-HYPERREFLEXIVITY OF TOEPLITZ-HARMONIC SUBSPACES

Budzyński, Piotr; Piwowarczyk, Kamila; Ptak, Marek

doi:10.4134/bkms.2014.51.6.1727

Bulletin of the Korean Mathematical Society

2014

DOI: 10.4134/bkms.2014.51.6.1727

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A NOTE ON k-HYPERREFLEXIVITY OF TOEPLITZ-HARMONIC SUBSPACES

Piotr Budzyński¹,

Kamila Piwowarczyk²,

Marek Ptak³

Abstract: 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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A NOTE ON k-HYPERREFLEXIVITY OF TOEPLITZ-HARMONIC SUBSPACES

Abstract: 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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References 11 publications

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