Does the Father have the Holy Spirit within himself?

1 Corinthians 2:11 > For who among men knows the thoughts of man except his own spirit > within him? **So too, no one knows the thoughts of God except the Spirit > of God.** Does the Father have the Holy Spirit within him, and if he does, is it his very own spirit or a separate divine person within him? _This is a question to get an understanding of doctrine comparing Trinitarian, Binitarian and Unitarian perspectives._