The Spectral Theorem stands as one of the central pillars of functional analysis, unifying linear algebra, operator theory, and measure theory. This mini-course offers a systematic journey through the spectral theory of normal operators, tracing its development from finite-dimensional linear algebra to the infinite-dimensional Hilbert space setting.
This lecture is self-contained. Even if you missed the first session on matrix spectral theory, you are very welcome to join—we will be pivoting to infinite-dimensional spaces to cover Compact Operators and the Spectral Theorem.
Dr. K. Sumesh is a faculty member in the Department of Mathematics at IITM.
