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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2013 • Question 4

Question

Math 6210 • Real Analysis Spring 2013 • Question 4

Let \(H\) be a Hilbert space, with \(U\) and \(V\) closed subspaces which are orthogonal. Prove that \(U+V\) is a closed subspace of \(H\).

Raw LaTeX

Let \(H\) be a Hilbert space, with \(U\) and \(V\) closed subspaces
which are orthogonal. Prove that \(U+V\) is a closed subspace of \(H\).

Topic Tags

Hilbert Spaces and Orthogonality