Table of Contents:
  • Pte.1: General theory: 1. preliminary concepts
  • 2. three basic principles of linear analysis
  • 3. integration and set functions
  • 4. special spaces
  • 5. convex sets and weak topologies
  • 6. operators and adjoints
  • 7. general spetctral theory
  • 8. Applications
  • Pte. 2. Spectral theory: 9. B-algebras
  • 10. bounded normal operators in Hilbert Space
  • 11. Miscellaneous applications
  • 12. unbounded operators in Hilbert spece
  • 13. ordinary differential operators
  • 14. linear partial differential equations and operators.
  • Pte. 3. Spectral operators.