How do I show that a linear function from a Hilbert space $H$ to itself is continuous if $H$ is finite dimensional?
Also, what would be an example of a linear function from a Hilbert space to itself which is not continuous?
How do I show that a linear function from a Hilbert space $H$ to itself is continuous if $H$ is finite dimensional?
Also, what would be an example of a linear function from a Hilbert space to itself which is not continuous?