Functional Analysis

Functional Analysis

The Bright Side of Mathematics via YouTube Direct link

Functional Analysis - Part 24 - Uniform Boundedness Principle / Banach–Steinhaus Theorem

24 of 32

24 of 32

Functional Analysis - Part 24 - Uniform Boundedness Principle / Banach–Steinhaus Theorem

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Classroom Contents

Functional Analysis

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  1. 1 Functional Analysis - Part 1 - Metric Space
  2. 2 Functional Analysis - Part 2 - Examples for metrics
  3. 3 Functional Analysis - Part 3 - Open and closed sets
  4. 4 Functional Analysis - Part 4 - Sequences, limits and closed sets
  5. 5 Functional Analysis - Part 5 - Cauchy sequences and complete metric spaces
  6. 6 Functional Analysis - Part 6 - Norms and Banach spaces
  7. 7 Functional Analysis - Part 7 - Examples of Banach spaces
  8. 8 Functional Analysis - Part 8 - Inner Products and Hilbert Spaces
  9. 9 Functional Analysis - Part 9 - Examples of Inner Products and Hilbert Spaces
  10. 10 Functional Analysis - Part 10 - Cauchy-Schwarz Inequality
  11. 11 Functional Analysis - Part 11 - Orthogonality
  12. 12 Functional Analysis - Part 12 - Continuity
  13. 13 Functional Analysis - Part 13 - Bounded Operators
  14. 14 Functional Analysis - Part 14 - Example Operator Norm
  15. 15 Functional Analysis - Part 15 - Riesz Representation Theorem
  16. 16 Functional Analysis - Part 16 - Compact Sets
  17. 17 Functional Analysis - Part 17 - Arzelà–Ascoli theorem
  18. 18 Functional Analysis - Part 18 - Compact Operators
  19. 19 Functional Analysis - Part 19 - Hölder's Inequality
  20. 20 Functional Analysis - Part 20 - Minkowski inequality
  21. 21 Functional Analysis - Part 21 - Isomorphisms?
  22. 22 Functional Analysis - Part 22 - Dual spaces
  23. 23 Functional Analysis - Part 23 - Dual space - Example
  24. 24 Functional Analysis - Part 24 - Uniform Boundedness Principle / Banach–Steinhaus Theorem
  25. 25 Functional Analysis - Part 25 - Hahn–Banach theorem
  26. 26 Functional Analysis - Part 26 - Open Mapping Theorem
  27. 27 Functional Analysis - Part 27 - Bounded Inverse Theorem and Example
  28. 28 Spectral Theory 1 - Spectrum of Bounded Operators (Functional Analysis - Part 28)
  29. 29 Spectral Theory 2 - Spectrum of Multiplication Operator (Functional Analysis - Part 29)
  30. 30 Spectral Theory 3 - Properties of the spectrum (Functional Analysis - Part 30)
  31. 31 Spectral Theory 4 - Spectral Radius (Functional Analysis - Part 31)
  32. 32 Spectral Theory 5 - Normal and Self-Adjoint Operators (Functional Analysis - Part 32)

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