Love this article—I just wanted to make a quick correction to your last paragraph in the section where you talk about Chapter 6. The existence of orthonormal basis depends intimately (at least as proved in Axler’s book) on the hypothesis that the inner product space is finite-dimensional. Thanks again for writing this great article!
Love this article—I just wanted to make a quick correction to your last paragraph in the section where you talk about Chapter 6. The existence of orthonormal basis depends intimately (at least as proved in Axler’s book) on the hypothesis that the inner product space is finite-dimensional. Thanks again for writing this great article!