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http://dx.doi.org/10.4134/BKMS.2014.51.6.1727

A NOTE ON k-HYPERREFLEXIVITY OF TOEPLITZ-HARMONIC SUBSPACES

Budzynski, Piotr (Instytut Matematyczny Polskiej Akademii Nauk)
Piwowarczyk, Kamila (Katedra Zastosowan Matematyki Uniwersytet Rolniczy w Krakowie)
Ptak, Marek (Katedra Zastosowan Matematyki Uniwersytet Rolniczy w Krakowie)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1727-1733 More about this Journal

Abstract

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.

Keywords

k-hyperreflexive subspace; direct integral; tensor product; isometry; quasinormal operator;

Citations & Related Records

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