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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2019 • Question 4

Question

Math 6210 • Real Analysis Spring 2019 • Question 4

Let \(V\) be a normed space and \(U\) a closed subspace. Define the norm on \(V/U\) and prove that \(V/U\) is complete if \(V\) is.

Raw LaTeX

Let \(V\) be a normed space and \(U\) a closed subspace. Define the
norm on \(V/U\) and prove that \(V/U\) is complete if \(V\) is.

Topic Tags

Banach Spaces Hilbert Spaces and Orthogonality