Math of QM: Appendix on Convergence Theorems for Lebesgue-Stieltjes Integrals

Monotone convergence theorem and dominated convergence theorem.

This is part 3 of the Appendix in the lecture series "Mathematical Aspects of Quantum Mechanics" of Roland Speicher in the winter term 2020/21 at Saarland University, Germany. The Appendix, which is split into 6 parts, provides some basic background information about Lebesgue-Stieltjes integration and absolutely continuous functions.