Course Summary
1. Class: M.Sc. (Third Sem)
2. Course Name: Applied Functional Analysis
3. Brief Introduction of Course: Hilbert space, in mathematics, an example of an infinite dimensional space that had a major impact in analysis and topology. Hilbert spaces are of crucial importance in the mathematical formulation of quantum mechanics, although many basic features of quantum mechanics can be understood without going into details about Hilbert spaces. Hilbert spaces are studied in functional analysis.
4. Pace of Course: Scheduled(90 Days)
5. Outline: Syllabus contains 5 unit
6. Objective of Course: Students will be able to
To understand Metric Space, Normed space and Inner Product Space.
Describe completion of a space.
To differentiate Linearly independent and Linearly dependent.
To solve the results related to Normed space and Inner Product Space.
7. Expected outcome of course: Having successfully completed this Course students will be
able to:
Define Banach and Hilbert spaces and be familiar with various examples of these
Determine whether a subset of a Normed space is complete or not.
Determine whether linear operators are continuous.
- Teacher: Dr. Sunita Soni
