I didn't know you for that long, and I so wished I had gotten to know you better, but as a fellow mathematician who worked in your field (analysis), and as someone who opened up to me beyond the professional realm, I felt an uncommon bond between us. It absolutely made me smile when you said that I should come visit the Uni of Glasgow math dept., ( Read more... )

So after 6 hours or so, I gave up :p. Conway's 'course in functional analysis' has the same problem (show that L^\infty, for various probability measures, are the only abelian Von Neumann algebras, up to isomorphsim), but refers to previous problems for hints, and so I gave up and looked at the hints. Still haven't solved it WITH the hints yet ( Read more... )

Damn thing didn't work before, so here it is:


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This brought a smile to my face this morning :). Anyway back to operator theory. I hope this HW problem (proving abelian W* algebras are all isomorphic to some L^\infty) won't take me all day. Of course, I'm sure it will. But hey, how else am I to learn if I don't do the problems I guess?


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Well I'll be damned, a publishing company just recently translated one of my favorite books "Hitler's Priestess" into Italian. I guess now Italians can learn about the bizzare (and completely politically irrelevant) lunatic known as Savitri Devi ( Read more... )

This is the dumbest little problem I have. It's really just second year Undergrad linear algebra, but seemed to trick me up last night. So my dog woke me up at 6:45am, took him out, fiddled online, so now I'm pissed and must solve this now :p.

T is self adjoint iff is real for all x in H (H some hilbert space, but the proof is probably exactly ( Read more... )

You know, one of these days when I'm bored, I'm going to make a gigantic list of every single function space (vector spaces of functions) I've ever heard of. Considering the fact that I've seen a lot of 'regularity spaces' (in a miserably failed attempt to come up with a new Sobolev type compactness imbedding), a lot functions spaces that arise in ( Read more... )

God I love this: Hamas, the leading group in the Palestinian government, claims to be obeying a 'cease fire' while for months, have been firing dozens of homemade (qassam) rockets into Israel (usually resulting in no damage, though it somestimes does kill or wound Israelis.) Now that's one hell of an interesting cease fire ( Read more... )

"ruled by the supreme court that states can ban cross burning if the intent is racial intimidation"

obviously I meant CAN'T instead of can hah.

This pisses me off: "We punish people for painting a swastika on a building, and we punish people for cross burning. Some might claim that's free speech, too. I think not ( Read more... )