Modules / Lectures

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Lec 01 Finite dimensional Spectral theorem | Download |

2 | Lec 02 Compact operators | Download |

3 | Lec 03 Spectral theorem for Compact self-adjoint operators | Download |

4 | Lec 04 Spectral theorem for compact Normal operators | Download |

5 | Lec 05 Banach algebras | Download |

6 | Lec 06 Gelfand-Mazur theorem | Download |

7 | Lec 07 Spectral radius | Download |

8 | Lec 08 Multiplicative functionals | Download |

9 | Lec 09 Gelfand transform-I | Download |

10 | Lec 10 Gelfand transform -II | Download |

11 | Lec 11 C* algebras | Download |

12 | Lec 12 Examples and Wienerâ€™s theorem | Download |

13 | Lec 13 Gelfand-Naimark theorem | Download |

14 | Lec 14 Non-unital Banach algebras | Download |

15 | Lec 15 Non-unital C* algebra | Download |

16 | Lec 16 Gelfand transform of non-unital C*algebras | Download |

17 | Lec 17 Gelfand-Naimark theorem for non-unital C* algebras | Download |

18 | Lec 18 Continuous functional calculus | Download |

19 | Lec 19 Bounded functional calculus -I | Download |

20 | Lec 20 Bounded functional calculus -II | Download |

21 | Lec 21 Projection valued measures | Download |

22 | Lec 22 Bounded functional calculus with respect to a projection valued measure | Download |

23 | Lec 23 Spectral Theorem I | Download |

24 | Lec 24 Spectral theorem II | Download |

25 | Lec 25 Some applications | Download |

26 | Lec 26 Spectral theorem for a bounded normal operator | Download |

27 | Lec 27 Resolution of identity -I | Download |

28 | Lec 28 Resolution of identity -II | Download |

29 | Lec 29 Resolution of identity-III | Download |

30 | Lec 30 Resolution of identity-IV | Download |

31 | Lec 31 Equivalence of various forms of spectral theorems -I | Download |

32 | Lec 32 Equivalence of various forms of spectral theorems -II | Download |

33 | Lec 33 Spectrum of a self-adjoint operator-I | Download |

34 | Lec 34 Spectrum of a self-adjoint operator-II | Download |

35 | Lec 35 Commuting family of self-adjoint operators | Download |

36 | Lec 36 Continuous functional calculus for commuting family of self-adjoint operators -I | Download |

37 | Lec 37 Continuous functional calculus for commuting family of self-adjoint operators -II | Download |

38 | Lec 38 Fugledeâ€™s theorem | Download |

39 | lec 39 Spectral theorem for commuting finite family of normal operators | Download |

40 | Lec 40 Multiplicity theory | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lec 01 Finite dimensional Spectral theorem | PDF unavailable |

2 | Lec 02 Compact operators | PDF unavailable |

3 | Lec 03 Spectral theorem for Compact self-adjoint operators | PDF unavailable |

4 | Lec 04 Spectral theorem for compact Normal operators | PDF unavailable |

5 | Lec 05 Banach algebras | PDF unavailable |

6 | Lec 06 Gelfand-Mazur theorem | PDF unavailable |

7 | Lec 07 Spectral radius | PDF unavailable |

8 | Lec 08 Multiplicative functionals | PDF unavailable |

9 | Lec 09 Gelfand transform-I | PDF unavailable |

10 | Lec 10 Gelfand transform -II | PDF unavailable |

11 | Lec 11 C* algebras | PDF unavailable |

12 | Lec 12 Examples and Wienerâ€™s theorem | PDF unavailable |

13 | Lec 13 Gelfand-Naimark theorem | PDF unavailable |

14 | Lec 14 Non-unital Banach algebras | PDF unavailable |

15 | Lec 15 Non-unital C* algebra | PDF unavailable |

16 | Lec 16 Gelfand transform of non-unital C*algebras | PDF unavailable |

17 | Lec 17 Gelfand-Naimark theorem for non-unital C* algebras | PDF unavailable |

18 | Lec 18 Continuous functional calculus | PDF unavailable |

19 | Lec 19 Bounded functional calculus -I | PDF unavailable |

20 | Lec 20 Bounded functional calculus -II | PDF unavailable |

21 | Lec 21 Projection valued measures | PDF unavailable |

22 | Lec 22 Bounded functional calculus with respect to a projection valued measure | PDF unavailable |

23 | Lec 23 Spectral Theorem I | PDF unavailable |

24 | Lec 24 Spectral theorem II | PDF unavailable |

25 | Lec 25 Some applications | PDF unavailable |

26 | Lec 26 Spectral theorem for a bounded normal operator | PDF unavailable |

27 | Lec 27 Resolution of identity -I | PDF unavailable |

28 | Lec 28 Resolution of identity -II | PDF unavailable |

29 | Lec 29 Resolution of identity-III | PDF unavailable |

30 | Lec 30 Resolution of identity-IV | PDF unavailable |

31 | Lec 31 Equivalence of various forms of spectral theorems -I | PDF unavailable |

32 | Lec 32 Equivalence of various forms of spectral theorems -II | PDF unavailable |

33 | Lec 33 Spectrum of a self-adjoint operator-I | PDF unavailable |

34 | Lec 34 Spectrum of a self-adjoint operator-II | PDF unavailable |

35 | Lec 35 Commuting family of self-adjoint operators | PDF unavailable |

36 | Lec 36 Continuous functional calculus for commuting family of self-adjoint operators -I | PDF unavailable |

37 | Lec 37 Continuous functional calculus for commuting family of self-adjoint operators -II | PDF unavailable |

38 | Lec 38 Fugledeâ€™s theorem | PDF unavailable |

39 | lec 39 Spectral theorem for commuting finite family of normal operators | PDF unavailable |

40 | Lec 40 Multiplicity theory | PDF unavailable |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |