Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

The textual description of the space $G$ is as follows:

$G(\mathbb{R}^2)$ is the Banach space composed of the distributions $f$ which can be written as $f = \mathrm{div}(g)$, where $\mathrm{div}:Y\rightarrow X$.

Later on in the paper, a discrete version of $G$ is given with the following definition:

$G_d = \{ v \in X / \exists g \in Y \;\; \mathrm{s.t.} \;\; v = \mathrm{div}(g) \}$

Am I correct in reading the $/$ symbol as "such that"? I am only familiar with $/$ to indicate a quotient space.Or is the above a quotient space that I am missing?

share|improve this question
    
I think that must be it. I've seen this, but only in old texts. –  Dylan Moreland Jun 11 '12 at 4:26
    
Maybe it’s a typo for a vertical bar? When I was a boy (he says, his voice cracking), the vertical bar commonly meant “such that” when it appeared between braces. –  Lubin Jun 13 '12 at 3:42

1 Answer 1

up vote 2 down vote accepted

It is almost certainly the case that the / should be read as "such that" as you expect.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

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