Principles of functional analysis

By: Martin SchechterMaterial type: TextTextSeries: Graduate Studies in Mathematics ; Vol. 36Publication details: Rhode Island: American Mathematical Society, [c2002]Edition: 2nd EdDescription: 425 pISBN: 9780821848562Subject(s): MathematicsLOC classification: QA320
Contents:
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
Summary: 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
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA320 (Browse shelf (Opens below)) Checked out to Arup Datta (0008448394) Billno:IN 003 582; Billdate: 2018-01-11 01/13/2025 00967
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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

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

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