Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem

Om kurset

Description: We finish introducing the basic notions of functional analysis including subspaces, quotient spaces, and seminorms (almost norms). Then we prove some necessary fundamental theorems for moving forward: the Baire Category Theorem and the Uniform Boundedness Theorem. The former theorem is the only category theory known to the instructor. Instructor: Dr. Casey Rodriguez