Tag Archives: Hilbert spaces
Brief Thought: Compact Operators on Hilbert Spaces
Most proofs that a compact Hilbert-space operator is the limit (in the operator topology) of finite-rank operators seem to restrict to the case that is separable. But this is unnecessary hypothesis. Indeed, let . Since the image has compact closure–some … Continue reading
Are all Hilbert spaces separable…
and therefore there’s only one, ? No.
Math by Matt 