A second look at "A Geometric Proof of the Spectral Theorem for Unbounded Self-Adjoint Operators"
Functional Analysis
2017-12-22 v1
Abstract
A new geometric proof of the spectral theorem for unbounded self-adjoint operators A in a Hilbert space H is given based on a splitting of A in positive and negative parts A+ and A-. For both operators A+ and A- the spectral family can be defined immediately and then put together to become the spectral family of A.
Keywords
Cite
@article{arxiv.1712.07988,
title = {A second look at "A Geometric Proof of the Spectral Theorem for Unbounded Self-Adjoint Operators"},
author = {Herbert Leinfelder},
journal= {arXiv preprint arXiv:1712.07988},
year = {2017}
}