Definable Operators on Hilbert Spaces
Logic
2010-10-13 v1 Functional Analysis
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.
Cite
@article{arxiv.1010.2243,
title = {Definable Operators on Hilbert Spaces},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:1010.2243},
year = {2010}
}
Comments
10 pages