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If you are like me, you’ve probably got lots to do for final exams and things of the like as the semester (trimester, quarter, whatever your school uses) comes to a close. In an effort to take a bit of … Continue reading
Last time I introduced the notion of the weak topology on a Banach space . I defined the topology in terms of net convergence, but remarked that this was equivalent to the weak topology generated by . The purpose of … Continue reading
Well, it’s been a long time since I’ve written a post, but I have a bit of time tonight and I really don’t feel like doing homework tonight, so let’s talk about some mathematics! Last time I wrote, I promised … Continue reading
Recall that in the finite dimensional world, two vector spaces are isometrically isomorphic if and only if they have the same dimension. In the last post, I mentioned that, by using the appropriate definition of a basis and dimension, one … Continue reading
Imagine a drop of water splashing into a small bowl of water. When the drop hits, it will create water waves that will propagate through the bowl. If we place a screen with two small openings in the path of … Continue reading
And now for something completely different! I’ve decided to write another series of posts in conjunction with my discussion of Hilbert spaces. As many of you know, I did quite a bit of undergraduate work in physics, and I thought … Continue reading
Hello all, I hope your semesters are going well! I am on spring break this week, so I’ve got a bit of time, and I figured instead of getting a head start on my homework for next week, I’d write … Continue reading