Functional Analysis

Functional Analysis

Ch 30 NIOS: Gyanamrit via YouTube Direct link

Hilbert Adjoint Operator

1 of 40

1 of 40

Hilbert Adjoint Operator

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Classroom Contents

Functional Analysis

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  1. 1 Hilbert Adjoint Operator
  2. 2 Self adjoint, Unitary and Normal operators
  3. 3 Tutorial - III
  4. 4 Annihilator in an IPS
  5. 5 Total Orthonormal Sets and Sequences
  6. 6 Partially Ordered Set and Zorns Lemma
  7. 7 Hahn Banach Theorem for Real Vector Spaces
  8. 8 Hahn Banach Theorem for Complex V.S. & Normed Spaces
  9. 9 Baires Category & Uniform Boundedness Theorems
  10. 10 Open Mapping Theorem
  11. 11 Closed Graph Theorem
  12. 12 Adjoint operator
  13. 13 Strong and Weak Convergence
  14. 14 S30 2074
  15. 15 LP - Space
  16. 16 LP - space (contd.)
  17. 17 Completion of Metric Spaces + Tutorial
  18. 18 Examples of Complete and Incomplete Metric Spaces
  19. 19 Holder inequality and Minkowski Inequality
  20. 20 Convergence, Cauchy Sequence, Completeness
  21. 21 Metric Spaces with Examples
  22. 22 Separable Metrics Spaces with Examples
  23. 23 Banach Spaces and Schauder Basic
  24. 24 Normed Spaces with Examples
  25. 25 Vector Spaces with Examples
  26. 26 Various Concepts in a Metric Space
  27. 27 Bounded Linear Operators in a Normed Space
  28. 28 Linear Operators - Definitions and Examples
  29. 29 Compactness of Metric/Normed Spaces
  30. 30 Finite Dimensional Normed Spaces and Subspaces
  31. 31 Concept of Algebraic Dual and Reflexive Space
  32. 32 Bounded Linear Functionals in a Normed Space
  33. 33 Tutorial - II
  34. 34 Representation of Functionals on a Hilbert Spaces
  35. 35 Tutorial - I
  36. 36 Projection theorem, Orthonormal Sets and Sequences
  37. 37 Dual Spaces with Examples
  38. 38 Dual Basis & Algebraic Reflexive Space
  39. 39 Further properties of inner Product Spaces
  40. 40 Inner product & Hilbert space

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