TY - BOOK AU - Martin Schechter TI - Principles of functional analysis T2 - Graduate Studies in Mathematics SN - 9780821848562 AV - QA320 PY - 2002///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - Chapter 1. Basic notions Chapter 2. Duality Chapter 3. Linear operators Chapter 4. The Riesz theory for compact operators Chapter 5. Fredholm operators Chapter 6. Spectral theory Chapter 7. Unbounded operators Chapter 8. Reflexive Banach spaces Chapter 9. Banach algebras Chapter 10. Semigroups Chapter 11. Hilbert space Chapter 12. Bilinear forms Chapter 13. Selfadjoint operators Chapter 14. Measures of operators Chapter 15. Examples and applications N2 - This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants.---Summary provided by publisher ER -