Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592451 | Journal of Functional Analysis | 2009 | 10 Pages |
Abstract
An operator T∈B(H) is complex symmetric if there exists a conjugate-linear, isometric involution C:H→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 ⩽4 is complex symmetric.
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