| Module Name | Download | Description | Download Size |
|---|---|---|---|
| Functional Analysis | Questions & Answers | This is questionnaire & Answer that covers after 40th lectures in the module and could be attempted after listening to 40th lectures. | 528 |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Metric Spaces with Examples | Download Verified |
| 2 | Holder Inequality and Minkowski Inequality | Download Verified |
| 3 | Various Concepts in a Metric Space | Download Verified |
| 4 | Separable Metrics Spaces with Examples | Download Verified |
| 5 | Convergence, Cauchy Sequence, Completeness | Download Verified |
| 6 | Examples of Complete and Incomplete Metric Spaces | Download Verified |
| 7 | Completion of Metric Spaces + Tutorial | Download Verified |
| 8 | Vector Spaces with Examples | Download Verified |
| 9 | Normed Spaces with Examples | Download Verified |
| 10 | Banach Spaces and Schauder Basic | Download Verified |
| 11 | Finite Dimensional Normed Spaces and Subspaces | Download Verified |
| 12 | Compactness of Metric/Normed Spaces | Download Verified |
| 13 | Linear Operators-definition and Examples | Download Verified |
| 14 | Bounded Linear Operators in a Normed Space | Download Verified |
| 15 | Bounded Linear Functionals in a Normed Space | Download Verified |
| 16 | Concept of Algebraic Dual and Reflexive Space | Download Verified |
| 17 | Dual Basis & Algebraic Reflexive Space | Download Verified |
| 18 | Dual Spaces with Examples | Download Verified |
| 19 | Tutorial - I | Download Verified |
| 20 | Tutorial - II | Download Verified |
| 21 | Inner Product & Hilbert Space | Download Verified |
| 22 | Further Properties of Inner Product Spaces | Download Verified |
| 23 | Projection Theorem, Orthonormal Sets and Sequences | Download Verified |
| 24 | Representation of Functionals on a Hilbert Spaces | Download Verified |
| 25 | Hilbert Adjoint Operator | Download Verified |
| 26 | Self Adjoint, Unitary & Normal Operators | Download Verified |
| 27 | Tutorial - III | Download Verified |
| 28 | Annihilator in an IPS | Download Verified |
| 29 | Total Orthonormal Sets And Sequences | Download Verified |
| 30 | Partially Ordered Set and Zorns Lemma | Download Verified |
| 31 | Hahn Banach Theorem for Real Vector Spaces | Download Verified |
| 32 | Hahn Banach Theorem for Complex V.S. & Normed Spaces | Download Verified |
| 33 | Baires Category & Uniform Boundedness Theorems | Download Verified |
| 34 | Open Mapping Theorem | Download Verified |
| 35 | Closed Graph Theorem | Download Verified |
| 36 | Adjoint Operator | Download Verified |
| 37 | Strong and Weak Convergence | Download Verified |
| 38 | Convergence of Sequence of Operators and Functionals | Download Verified |
| 39 | LP - Space | Download Verified |
| 40 | LP - Space (Contd.) | Download Verified |
| 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 |