Complex Symmetric Partial Isometries

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Warren R. Wogen

Document Type

Article - preprint

Department

Mathematics (Pomona)

Publication Date

2009

Keywords

Complex symmetric operator, Isometry, Partial isometry

Abstract

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.

Comments

Pre-print from http://arxiv.org/abs/0907.4486

Final publication can be found at:

Stephan Ramon Garcia, Warren R. Wogen, Complex symmetric partial isometries, Journal of Functional Analysis, Volume 257, Issue 4, 15 August 2009, Pages 1251-1260, ISSN 0022-1236, http://dx.doi.org/10.1016/j.jfa.2009.04.005. (http://www.sciencedirect.com/science/article/pii/S0022123609001694)

Rights Information

© 2009 Elsevier B.V.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/j.jfa.2009.04.005

Recommended Citation

Garcia, Stephan Ramon and Wogen, Warren R., "Complex Symmetric Partial Isometries" (2009). Pomona Faculty Publications and Research. 245.
https://scholarship.claremont.edu/pomona_fac_pub/245