MAL6060: Functional Analysis (M. Sc. course) at IIT Jodhpur

Course plan: We will be learning Functional Analysis. 

Assignments, additional related material will be posted on this page. 

Course evaluation, policy details and dates: see here

Resources: For a brief historical account by Neal L. Carothers : see here. 

Lecture plan:

2nd Jan 2026 : Recall about Metric spaces, Examples of metrics d_p on K^n, inequalities by Young, Hölder and Minkowski

5th Jan : Lecture 1: Further examples of metric spaces: sequences spaces, function spaces

7th Jan : Lecture 2: Normed spaces, basic properties of normed spaces

9th Jan : Lecture 3: Subspaces of normed spaces, Quotients of normed spaces 

12th Jan : Lecture 4: Riesz' lemma, Finite dimensional subspaces of normed spaces are complete. 

14th Jan : Lecture 5:  Topological characterization of Finite dimesional normed spaces, Equivalence of norms

16th Jan : No class

19 th Jan : Lecture 6: Continuity of linear maps 

20st Jan : L7: Characterization of countinuous maps

21st Jan : L8: Bounded linear maps, norm of operator 

23rd Jan : L9: Hahn-Banach theorem   

26 Jan : Holiday 

28 jan, 30 Jan: No class. Quiz 1 this week

2nd Feb: L9: 

4th Feb: L10:

9th Feb : L11:

11th Feb: L12:

13th Feb: L13:

16th Feb: L14:

18-21 Feb: Minor exam period

23 Feb:

25 Feb:

27th Feb:

2nd March:

4th March : Holi Holiday

6th March:

9th March:

11th March:

Semester break