1 Attachment(s)

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"

Re: Kakutani Theorem (functional analysis)

It is a direct application of the theorem to $\displaystyle E^{**}$, or are you not understanding the theorem itself?