well, it took me more than 18 months .. but today i finally got around to getting a university library card. as a result, immediately afterwards i sped to the analysis shelves and made out like a bandit!

if you're curious, here's my loot:

if you're curious, here's my loot:

my only regret is that

(

on an unrelated note, often i try to cite the most original sources as possible .. which often leads me to wild goose chases. figuring out, for example, who was first to characterise the dual of $L^\infty(X,\mu)$ --- say, for σ-finite measures $\mu$ --- is taking longer than i thought.

__measure theory and fine properties of functions__by evans and gariepy wasn't available .. which isn't surprising. for one thing, it's almost impossible to find that book for sale.(

*i'm starting to think that to find a reasonably priced copy, i'll have to inherit it from someone's estate!*)on an unrelated note, often i try to cite the most original sources as possible .. which often leads me to wild goose chases. figuring out, for example, who was first to characterise the dual of $L^\infty(X,\mu)$ --- say, for σ-finite measures $\mu$ --- is taking longer than i thought.

so far, i've traced it as far back as a transactions paper of Hildebrandt from 1934 .. in the case of $X$ being an interval on the real line, anyway.at this point, i wouldn't be surprised if the result can be found in lebesgue's thesis .. or, for that matter, on a bit of scroll from the days of archimedes!

it's neverthatsimple, of course. in the same year there is a competing paper from studia mathematica by Fichtenholz and Kantorovich, who treat the same setting.

## 1 comment:

woowww amazing,,,i like your posting

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