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A first course in functional analysis /

Bibliographic Details
Main Author: Shalit, Orr Moshe
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, [2016]
Subjects:
Functional analysis > Textbooks.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Functional analysis
Electronic books.
Textbooks
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction and the Stone-Weierstrass theorem
  • 2. Hilbert spaces
  • 3. Orthogonality, projections, and bases
  • 4. Fourier series
  • 5. Bounded linear operators on Hilbert space
  • 6. Hilbert function spaces
  • 7. Banach spaces
  • 8. The algebra of bounded operators on a Banach space
  • 9. Compact operators
  • 10. Compact operators on Hilbert space
  • 11. Applications of the theory of compact operators
  • 12. The Fourier transform
  • 13. *The Hahn-Banach theorems.