Three Proofs of the Spectral Theorem That You Might Not Know About
Abstract
In this article we present three different proofs of the spectral theorem. Compared to the standard proofs using determinants or Lagrange multipliers, the three proofs presented have their own pedagogical advantages and deserve to reach a broader audience.
Fields of Study & Subjects
Matrix Theory and Algorithms
Spectral Theory in Mathematical Physics
Holomorphic and Operator Theory
Publication details
- Journal / source
- American Mathematical Monthly
- Volume
- 133
- Issue
- 3
- Pages
- 268–274
- Publication date
- 27 January 2026
- Language
- EN