Consider \(\mathbb R\) with the Lebesgue measure. Show that \(L^2(\mathbb R)\) is a complete Hilbert space (hint: find a countable, complete orthonormal system).
Question
Math 6210 • Real Analysis
Fall 2013 • Question 3
Question
Fall 2013 • Question 3
Consider \(\mathbb R\) with the Lebesgue measure. Show that \(L^2(\mathbb R)\) is a complete Hilbert space (hint: find a countable, complete orthonormal system).