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Course11110503740 lectures

Functional Analysis

Prof. P.D. Srivastava · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

Functional Analysis

  1. Metric Spaces with Examples Video
  2. Holder Inequality and Minkowski Inequality Video
  3. Various Concepts in a Metric Space Video
  4. Separable Metrics Spaces with Examples Video
  5. Convergence, Cauchy Sequence, Completeness Video
  6. Examples of Complete and Incomplete Metric Spaces Video
  7. Completion of Metric Spaces + Tutorial Video
  8. Vector Spaces with Examples Video
  9. Normed Spaces with Examples Video
  10. Banach Spaces and Schauder Basic Video
  11. Finite Dimensional Normed Spaces and Subspaces Video
  12. Compactness of Metric/Normed Spaces Video
  13. Linear Operators-definition and Examples Video
  14. Bounded Linear Operators in a Normed Space Video
  15. Bounded Linear Functionals in a Normed Space Video
  16. Concept of Algebraic Dual and Reflexive Space Video
  17. Dual Basis & Algebraic Reflexive Space Video
  18. Dual Spaces with Examples Video
  19. Tutorial - I Video
  20. Tutorial - II Video
  21. Inner Product & Hilbert Space Video
  22. Further Properties of Inner Product Spaces Video
  23. Projection Theorem, Orthonormal Sets and Sequences Video
  24. Representation of Functionals on a Hilbert Spaces Video
  25. Hilbert Adjoint Operator Video
  26. Self Adjoint, Unitary & Normal Operators Video
  27. Tutorial - III Video
  28. Annihilator in an IPS Video
  29. Total Orthonormal Sets And Sequences Video
  30. Partially Ordered Set and Zorns Lemma Video
  31. Hahn Banach Theorem for Real Vector Spaces Video
  32. Hahn Banach Theorem for Complex V.S. & Normed Spaces Video
  33. Baires Category & Uniform Boundedness Theorems Video
  34. Open Mapping Theorem Video
  35. Closed Graph Theorem Video
  36. Adjoint Operator Video
  37. Strong and Weak Convergence Video
  38. Convergence of Sequence of Operators and Functionals Video
  39. LP - Space Video
  40. LP - Space (Contd.) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mathematics
Teacher
Prof. P.D. Srivastava
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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