Abstract
An operator $T$ on a complex Hilbert space $\mathcal{H}$ is said to be skew symmetric if there exists a conjugate-linear, isometric involution $C:\mathcal{H}\rightarrow\mathcal{H}$ such that $CTC=-T^*$. In this paper, using an interpolation theorem related to conjugations, we give a geometric characterization for a class of operators to be skew symmetric. As an application, we get a description of skew symmetric partial isometries.
Citation
Chun Guang Li. Ting Ting Zhou. "Skew symmetry of a class of operators." Banach J. Math. Anal. 8 (1) 279 - 294, 2014. https://doi.org/10.15352/bjma/1381782100
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