What is the difference between l subscript infinity and l superscript infinity?

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bugatti79
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Folks,

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

thanks
 
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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
[tex]\ell^{\infty}[/tex]