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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 2022 • Question 2

Question

Math 6210 • Real Analysis Fall 2022 • Question 2

Define the weak topology on \(L^{2}(\mathbb {R}, \lambda )\) and prove that it is not metrizable.

Raw LaTeX

Define the weak topology on \(L^{2}(\mathbb{R}, \lambda)\) and prove that it is not metrizable.

Topic Tags

Weak Topologies and Weak Convergence