"By the end of the Sprint Retrospective, the Scrum Team should have identified improvements that it will implement in the next Sprint. Implementing these improvements in the next Sprint is the adaptation to the inspection of the Scrum Team itself."
What does "the adaptation to the inspection of the Scrum Team itself" phrase trying to convey?
Every event in Scrum is an opportunity to inspect (looking) and adapt(changing) something. During Retrospectives, we are inspecting (looking at) the way the team works in the Sprint, which will result in improvements in the next Sprint. So that phrase means: retrospectives should result in changes in the way the team works. I hope that makes more sense now.