This textbook has evolved from a set of lecture notes which I prepared for a semester course in Hilbert space. I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics.
My textbook for Dr. Miller’s class Introduction to Hilbert Spaces: An Adventure In Infinite Dimensions has arrived.
We kicked off with a new thematic programme on #SpectralTheory 2 weeks ago, but the 1st focus week is happening 🔜.
Are you joining? 😉
As you could expect, you can reach the schedule and more at https://esi.ac.at/events/e425/ and the talks on our YT Channel at https://youtube.com/@ESIVienna/featured
#GeneralRelativity #HawkingRadiation #StationarySpacetimes #HilbertSpaces
(Visit Twitter for the video: https://twitter.com/ESIVienna/status/1669714303581028352)
Thinking like a mathematician.
For future reference, here's the master 🧵 by @tao on what it "suffices to check" to prove whether a particular invariant is preserved. https://mathstodon.xyz/@tao/109451634735720062
Note that he starts with #HilbertSpaces, but downthread he extends the principle more broadly.
Perhaps Mathstodon can be a place to note some folklore #MathTricks that are useful but too trifling to devote an entire paper to. Here's one (that I recalled on browsing MathOverflow https://mathoverflow.net/questions/435728): If one is trying to prove a Hilbert space identity or inequality which is invariant under a unitary group action, one can often reduce "for free" to the irreducible components of that group action. (1/2)
Chris Aldrich
Erwin Schrödinger Institute
Paul Rohr