#functional-analysis

46. Functional Analysis

This volume studies infinite-dimensional vector spaces and linear operators. It provides the analytical framework underlying modern analysis, PDEs, probability, and quantum theory. Part I. Normed and Banach Spaces Chapter 1. Normed Vector Spaces 1.1 Definitions and examples 1.2 Norms and metrics 1.3 Convergence 1.4 Continuous linear maps 1.5 Examples Chapter 2. Banach Spaces 2.1 Completeness 2.2 Examples: ℓᵖ, Lᵖ 2.3 Subspaces and quotients 2.4 Linear operators 2.5 Applications Chapter 3....