[Banach] Abstract of a paper by Stephan Ramon Garcia and Warren R. Wogen

This is an announcement for the paper "Complex symmetric partial isometries" by Stephan Ramon Garcia and Warren R. Wogen.

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.

Archive classification: math.FA math.OA

Mathematics Subject Classification: 47B99

Citation: J. Funct. Analysis 257 (2009), 1251-1260

Remarks: 9 pages

The source file(s), CSPI.tex: 33368 bytes, is(are) stored in gzipped form as 0907.4486.gz with size 10kb. The corresponding postcript file has gzipped size 68kb.

Submitted from: Stephan.Garcia@pomona.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0907.4486

or

http://arXiv.org/abs/0907.4486

or by email in unzipped form by transmitting an empty message with subject line

uget 0907.4486

or in gzipped form by using subject line

get 0907.4486

to: math@arXiv.org.