A nonstandard proof of the spectral theorem for unbounded self-adjoint operators
Functional Analysis
2021-04-06 v1 Mathematical Physics
Logic
math.MP
Abstract
We generalize Moore's nonstandard proof of the Spectral theorem for bounded self-adjoint operators to the case of unbounded operators. The key step is to use a definition of the nonstandard hull of an internally bounded self-adjoint operator due to Raab.
Keywords
Cite
@article{arxiv.2104.01949,
title = {A nonstandard proof of the spectral theorem for unbounded self-adjoint operators},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:2104.01949},
year = {2021}
}
Comments
15 pages. First draft; comments welcome!