%0 Journal Article
%T Complex symmetric partial isometries
%A Stephan Ramon Garcia
%A Warren R. Wogen
%J Mathematics
%D 2009
%I arXiv
%R 10.1016/j.jfa.2009.04.005
%X An operator $T \in B(\h)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:\h\to\h$ so that $T = CT^*C$. We provide a concrete description of all complex symmetric partial isometries. In particular, we prove that any partial isometry on a Hilbert space of dimension $\leq 4$ is complex symmetric.
%U http://arxiv.org/abs/0907.4486v1