Functional Analysis

MSc Course, Government College Kasaragod

Topics Covered:

• Normed Spaces: Vector spaces, norms, Banach spaces.
• Finite-Dimensional Spaces: Equivalent norms, completeness, compactness of closed and bounded sets, Riesz's Lemma, compactness of the closed unit ball.

Lecture Notes:

• Finite-Dimensional Normed Spaces

Reference Books:

• Erwin Kreyszig :- Introductory Functional Analysis with Applications
• B. V. Limaye :- Functional Analysis
• Walter Rudin :- Functional Analysis
• M. Thamban Nair :- Functional Analysis: A First Course