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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2005 • Question 4

Question

Math 6210 • Real Analysis 2005 • Question 4

Let \(H\) be an infinite dimensional Hilbert space. Describe a closed subset of \(H\) which contains no element of minimal norm.

Raw LaTeX

Let \(H\) be an infinite dimensional Hilbert space. Describe a closed
subset of \(H\) which contains no element of minimal norm.

Topic Tags

Hilbert Spaces and Orthogonality