arXiv Analytics

Sign in

arXiv:1010.2243 [math.LO]AbstractReferencesReviewsResources

Definable Operators on Hilbert Spaces

Isaac Goldbring

Published 2010-10-11Version 1

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.

Comments: 10 pages
Categories: math.LO, math.FA
Related articles: Most relevant | Search more
arXiv:0908.1942 [math.LO] (Published 2009-08-13, updated 2009-08-15)
Orthonormal bases of Hilbert spaces
arXiv:math/0411625 [math.LO] (Published 2004-11-28)
Hilbert spaces with generic groups of automorphisms
arXiv:1812.01264 [math.LO] (Published 2018-12-04)
Definable operators on stable set lattices

Links

Toolbox