Re: analysis question
- From: israel@xxxxxxxxxxx (Robert Israel)
- Date: 21 Apr 2005 22:50:38 GMT
In article <1114118136.682884.139100@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Pouya D. Tafti <p.d.tafti@xxxxxxxx> wrote:
>Hi, I am studying multiresolution approximation and have the following
>question: Suppose X is a Banach space with dual X', and that L is a
>subset of X'. What are the conditions on X, X', L s.t. having l(x) for
>all l\in L identifies exactly one x\in X? Any pointers to where
>similar material is generally covered would also be of great help.
>Thanks, -- Pouya
I believe the condition you want is that the linear span of L is weak-*
dense in X'.
Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
.
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