# Functional Analysis Query

1. Dec 19, 2011

### bugatti79

Folks,

Is there a difference between l subscript infinity and l superscript infinity. I believe the latter is the space if bounded sequences?

thanks

2. Dec 19, 2011

### Staff: Mentor

I believe they both mean the same thing - the space of bounded infinite sequences. The more usual notation uses, I believe, superscript notation, like so
$$\ell^{\infty}$$