Abstract
An operator $T$ on a complex Hilbert space $\mathcal{H}$ is called skew symmetric if $T$ can be represented as a skew symmetric matrix relative to some orthonormal basis for $\mathcal{H}$. We first give a canonical decomposition for general skew symmetric operators. Based on this decomposition, we provide a classification of skew symmetric weighted shifts.
Citation
Sen Zhu. "Skew symmetric weighted shifts." Banach J. Math. Anal. 9 (1) 253 - 272, 2015. https://doi.org/10.15352/bjma/09-1-19
Information
