Linear analysis : an introductory course /

Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author’s aim is not just to cover the standard material in a standard way, but to present results of appli...

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Détails bibliographiques
Cote:QA320 B6.44 1999
Auteur principal: Bollobás, Béla (autor)
Format: Livre
Langue:Inglés
Publié: Cambridge ; New York : Cambridge University Press, 1999.
Édition:Segunda edición.
Collection:Cambridge mathematical textbooks.
Sujets:
Functional analysis
Análisis funcional
Table des matières:
  • 1. Basic inequalities
  • 2. Normed spaces and bounded linear operators
  • 3. Linear functionals and the Hahn-Banach theorem
  • 4. Finite-dimensional normed spaces
  • 5. The Baire category theorem and the closed-graph theorem
  • 6. Continuous functions on compact spaces and the Stone-Weierstrass theorem
  • 7. The contraction-mapping theorem
  • 8. Weak topologies and duality
  • 9. Euclidean spaces and Hilbert spaces
  • 10. Orthonormal systems
  • 11. Adjoint operators
  • 12. The algebra of bounded linear operators
  • 13. Compact operators on Banach spaces
  • 14. Compact normal operators
  • 15. Fixed-point theorems
  • 16. Invariant subspaces.

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