Thanks for the feedback. In general, I like using slides like this since it is often 'good enough' for my purposes while still being possible to produce relatively quickly. After all, I don't have an infinite amount of time on my hands...
I've just started exploring C*-algebras for my master's dissertation. Been okay insofar but I've never met weak / weak* topologies before and they're giving me a headache lol.
Yeah, don't sweat it too much. Weak and weak*-topologies can be really hard to wrap your head around in the beginning, and it requires some getting used to for sure. Look into books on functional analysis if you want to learn more about weak/weak* topologies, as that's where they tend to come up the most.
@@TheArmchairIntellectual Thanks for the advice. My supervisor told me that at this stage I'm better off just accepting and internalising the main results (such as the weak* convergence result in the previous video) without much intuition. I also picked up the Murphy book recommendation - it's been useful :)
@@slog656 I'm glad the Murphy book has been useful to you. And I agree to some extent with your supervisor that it can be a good idea not to get too bogged down with some of the details, as that could easily end with one getting lost in those and forgetting what one's original goals were. In the end it's a matter of prioritizing what's most important to focus on at the moment.
![Recollections of I.M. Gelfand [2013]](/img/1.gif)
I love the fact you used beamer for the presentation. It makes things look very slick!
Thanks for the feedback. In general, I like using slides like this since it is often 'good enough' for my purposes while still being possible to produce relatively quickly. After all, I don't have an infinite amount of time on my hands...
I've just started exploring C*-algebras for my master's dissertation. Been okay insofar but I've never met weak / weak* topologies before and they're giving me a headache lol.
Yeah, don't sweat it too much. Weak and weak*-topologies can be really hard to wrap your head around in the beginning, and it requires some getting used to for sure. Look into books on functional analysis if you want to learn more about weak/weak* topologies, as that's where they tend to come up the most.
@@TheArmchairIntellectual Thanks for the advice. My supervisor told me that at this stage I'm better off just accepting and internalising the main results (such as the weak* convergence result in the previous video) without much intuition. I also picked up the Murphy book recommendation - it's been useful :)
@@slog656 I'm glad the Murphy book has been useful to you. And I agree to some extent with your supervisor that it can be a good idea not to get too bogged down with some of the details, as that could easily end with one getting lost in those and forgetting what one's original goals were. In the end it's a matter of prioritizing what's most important to focus on at the moment.