Functional Analysis and Operator Theory
Functional Analysis
2025-05-21 v3
Abstract
Lecture note topics: 1. Some tools from real and complex analysis, 2. Hilbert spaces, 3. Banach spaces, 4. Compact operators and their spectra, 5. Intermezzo: reproducing kernel Hilbert spaces, 6. Banach algebras ,7. Spectral theory of unitary, and of self-adjoint operators
Cite
@article{arxiv.2505.05526,
title = {Functional Analysis and Operator Theory},
author = {Nicola Arcozzi},
journal= {arXiv preprint arXiv:2505.05526},
year = {2025}
}
Comments
These lecture notes merge the contents of two versions of a one-semester course in Functional Analysis and Operator Theory I taught in 2024, then in 2025, for the Master in Mathematics at the University of Bologna. Added a bibliography and a subsection on Borel function