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

Name: Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem
Uploaded: 2022-11-17T14:59:59Z
Duration: 1 h 4 min 2 s
Description: 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

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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