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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2024 • Question 2

Question

Math 6210 • Real Analysis Spring 2024 • Question 2

Prove that there exists \(\phi :\ell ^2(\mathbb {N})\to \mathbb {R}\) that is linear and not continuous.

Raw LaTeX

Prove that there exists \(\phi:\ell^2(\mathbb{N})\to\mathbb{R}\) that is linear and not continuous.

Topic Tags

Lp Spaces and Sequence Spaces