0
$\begingroup$

$H$ is a Hilbert space and $M$ is an orthonormal set(not necessarily finite). What is the definition of:
1)closed linear span of $M$
2)the linear span of $M$
3)the closure of a linear span

I was reading Stein's Real Analysis .He used the concept span in the proof of Spectral Theorem in Page 193. But I can not find the definition of span(infinite cases) in this book.

$\endgroup$
0
$\begingroup$

Closed linear span is equal (by definition) to closure of linear span

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.