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 A note on $k$-hyperreflexivity of Toeplitz-harmonic subspaces Bull. Korean Math. Soc. 2014 Vol. 51, No. 6, 1727-1733 https://doi.org/10.4134/BKMS.2014.51.6.1727Printed November 30, 2014 Piotr Budzy\'nski, Kamila Piwowarczyk, and Marek Ptak Uniwersytet Rolniczy w Krakowie, Uniwersytet Rolniczy w Krakowie, Uniwersytet Rolniczy w Krakowie 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 $\ss\otimes \vv$ of a $k$-hyperreflexive decomposable subspace $\ss$ and an abelian von Neumann algebra $\vv$ is established. Keywords : $k$-hyperreflexive subspace, direct integral, tensor product, isometry, quasinormal operator MSC numbers : Primary 47L05; Secondary 47L75 Downloads: Full-text PDF