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.
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alspach@fourier.math.okstate.edu