| 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 Wiener’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 Fuglede’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 Wiener’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 Fuglede’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 |