Functional Analysis: Weak convergence lecture 2 - Oxford Mathematics 3rd Year Student Lecture

In this second lecture on the topic of weak convergence that we are showing, Melanie discusses key properties of weakly convergent sequences in Banach and Hilbert spaces, including Mazur’s Theorem that ensures that if we pass to a weak limit in a closed convex set then the resulting limit must also be in the set.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): • Oxford Mathematics Stu...
All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.

[@StratosFair]

Really enjoying these functional analysis lectures, thank you for the upload 🙏🏾

[@SarahLim-pf9iq]

Awesome

[@futureteacher1]

👍

[@LoveArora-ry3ph]

😢

[@nickseth17]

Even mathematicians that claim they do should check themselves lol. Listen to the humbleness of her voice. She knows she barely knows lol

[@igorfilin8342]

I have no idea what you talking about

[@mindsetnovice]

Her lecturing style here is just about as clear and down-to-earth as possible for this material. The clearest i’ve ever seen, super easy to understand. If you’re not understanding, then it’s probably because you’re missing some prerequisite knowledge. Maybe try finding a more basic functional analysis course/book and learning from that first.

[@hypergraphic]

Convergence, obviously :) J.K. I haven't even done calculus yet. I just like to watch math videos :)