Functional Analysis Seminar Flashcards
1
Q
Define the kernel over a set X.
A

2
Q
List the properties of an inner product.
A

3
Q
Given an orthonormal basis, write down the Fourier Coefficients and Bessel’s Inequality.
A

4
Q
Write down Riesz’s Representation of an element x.
A

5
Q

A
6
Q
Define the direct sum of Hilbert Spaces, and its inner product.
A

7
Q
Define the tensor product of Hilbert Spaces.
A
