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Elements of nonlinear functional analysis

About this Title

Richard A. Graff

Publication: Memoirs of the American Mathematical Society
Publication Year: 1978; Volume 16, Number 206
ISBNs: 978-0-8218-2206-7 (print); 978-1-4704-0353-9 (online)
DOI: https://doi.org/10.1090/memo/0206
MathSciNet review: 500408
MSC: Primary 58D15; Secondary 46G05, 47H99

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Table of Contents

Chapters

  • 1. Section functors
  • 2. The bounded weak* topology
  • 3. Differential calculus
  • 4. Differentiable functions on bw* spaces
  • 5. An inverse function theorem
  • 6. $\mathcal {U}$-maps and the geometry of function spaces
  • 7. Infinite-dimensional differentiable manifolds
  • 8. Critical point theory on Bw* manifolds
  • 9. An application to the calculus of variations