Kakutani Theorem (functional analysis)

• April 29th 2013, 08:31 AM
Kramer
Kakutani Theorem (functional analysis)
Could someone assist in explaining the reasoning behind the highlighted text of the attached document. Thanks for any assistance. http://www.mymathforum.com/images/sm...icon_smile.gif

The attached document has two theorems from the book by Haim Brezis called "Functional Analysis, Sobolev Spaces and Partial Differential Equations"
• May 4th 2013, 05:24 AM
majamin
Re: Kakutani Theorem (functional analysis)
It is a direct application of the theorem to $E^{**}$, or are you not understanding the theorem itself?