# Thread: Kakutani Theorem (functional analysis)

1. ## Kakutani Theorem (functional analysis)

Could someone assist in explaining the reasoning behind the highlighted text of the attached document. Thanks for any assistance.

The attached document has two theorems from the book by Haim Brezis called "Functional Analysis, Sobolev Spaces and Partial Differential Equations"

2. ## Re: Kakutani Theorem (functional analysis)

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