How can I determine if two eigenvectors form an open or closed subspace?

Hi, I have two eigenvectors, which form a subspace in H. Is there an easy way to determine whether the subspace they form is open or closed in H?

Thanks

[Torsten]

What is H ?

Best wishes

Torsten.

[Sergio Manzetti]

Hi Torsten, H=Hilbert space (L^2[-inf, +inf]).

Answer 1

[Torsten]

http://www.math.colostate.edu/~pauld/M645/BasicHS.pdf

Best wishes

Torsten.

[Sergio Manzetti]

Thanks Torsten! I have this already, however I was looking for a way in MATLAB to do it.

[Matt J]

From the document in Torsten's link,

"Every finite dimensional subspace of a Hilbert space H is closed."

The span of any two vectors is clearly an example of a finite dimensional sub-space and is therefore closed in L2.

[Sergio Manzetti]

Thanks Matt. I take this is because they start from some point and are thus not infinite?