Functional Analysis and Operator Algebras
Notes and Books
- Functional Analysis: Spectral Theory, V. S. Sunder
- C* Algebras and Operator Theory, Gerald Murphy
- An introduction to C*-algebras and the classification programme, Karen R. Strung. This book gives more intuition to the topics in Murphy. Read first 4 Chapters for a quick intro to the subject.
- Fundamentals of the Theory of Operator Algebras, Richard Kadison, John Ringrose
- Notes on C* Algebras, Kristin Courtney, Elizabeth Gillaspy
- Completely Bounded Maps and Operator Algebras, Vern Paulsen. A second read in operator algebras.
- Von Neumann Algebras, Vaughan F. R. Jones
Articles
- Noncommutative functional analysis, David Blecher. A simple introduction to C* algebras for undergrads.
- $\mathcal{R}$ We Living in the Matrix?, Roy Araiza and Rolando de Santiago.
Other websites
Programming and Linux
- Linux Bible, Christopher Negus
- Arch Wiki. (bTw, I’m aN ArCh UseR)
- Linux From Scratch. If you want to truly master the art
- MOOC.fi checkout their Introduction to Programming course hosted every year.
Cool projects and websites
- $\pi$-Base A community database of topological counterexamples.
- $\mathbb{C} o \delta\epsilon 4 \mathrm{M}\alpha th$ ‘Consortium of Digital Ecosystems for Mathematics’
- GitHub for Mathematicians
- Lean Community
- qubit.guide Introduction to Quantum Information Science
- Quantum Country A free introduction to quantum computing and quantum mechanics
- Arnaldo Rodriguez-Gonzalez Studying the intersection of mathematics, physical science, and engineering
- Neeldhara Misra