#operator-theory

47. Operator Theory

This volume studies linear operators on Banach and Hilbert spaces, with emphasis on spectral properties, structure, and applications in analysis and physics. Part I. Foundations Chapter 1. Linear Operators 1.1 Definitions and examples 1.2 Domains and ranges 1.3 Bounded vs unbounded operators 1.4 Operator norms 1.5 Basic properties Chapter 2. Classes of Operators 2.1 Bounded operators 2.2 Compact operators 2.3 Self-adjoint operators 2.4 Normal operators 2.5 Examples Chapter 3. Operator...