This is an announcement for the paper "Definable operators on Hilbert spaces" by Isaac Goldbring.

Abstract: Let H be an infinite-dimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exactly the "scalar plus compact" operators.

Archive classification: math.LO math.FA

Remarks: 10 pages

Submitted from: isaac@math.ucla.edu

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

http://front.math.ucdavis.edu/1010.2243

or

http://arXiv.org/abs/1010.2243