Article ID Journal Published Year Pages File Type
4592451 Journal of Functional Analysis 2009 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory