Skew-symmetric operators and reflexivity
In contrast to the subspaces of all $C$-symmetric operators, we show that the subspaces of all skew-C symmetric operators are reflexive and even hyperreflexive with the constant $κ(\C^s)\leqslant 3$.
math.FA↗
arXiv subjects
Marek Ptak
Publications and source records attributed to Marek Ptak.
Analytic structure of weighted shifts on directed trees
We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operators in question.
math.FA↗
A note on $k$-hyperreflexivity of Toeplitz-harmonic subspaces
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.
math.FA↗