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Martin Sleziak
Martin Sleziak
8:04 AM
Are supernatural-numbers important enough to have their own tag?
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Q: What, intuitively, are supernatural numbers?

Robert FrostBefore I can get to grips with something rigorously I need to understand it in an intuitive way. I was trying to get my head around the supernatural numbers. Looking at the definition it looks like they could extend the conventional numbers, by placing them in union with something analogous to ...

prime-numbers supernatural-numbers
Supernatural number
In mathematics, the supernatural numbers, sometimes called generalized natural numbers or Steinitz numbers, are a generalization of the natural numbers. They were used by Ernst Steinitz in 1910 as a part of his work on field theory. A supernatural number ω {\displaystyle \omega } is a formal product: ω = ∏ p p n p , ...
Is it Wiener's theorem (as in the question) or Weiner's theorem (as in the name of the tag you created)? Moreover, is the theorem important enough to have its own tag? If a tag is needed, wouldn't one tag for Tauberian theorems be enough? — Martin Sleziak 15 secs ago
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Q: Banach Algebra Question

David C. UllrichSuppose $A$ is a commuttative Banach algebra with idenity and $I\subset A$ is an ideal. If there is a unique maximal ideal $M$ with $I\subset M$ does it follow that $I=M$? Or that $I$ is dense in $M$? An answer assuming $A$ is semi-simple would be enough; in fact the case I'm really interested i...

banach-algebras weiners-tauberian-theorem
 
 
6 hours later…
Martin Sleziak
Martin Sleziak
1:52 PM
@MartinSleziak Sorry about the spelling - I thought it was Wiener, then yesterday I saw it spelled Weiner somewhere online, was confused. Evidently I feel it deserves its own tag; it's a hugely fundamental thing in harmonic analysis. I'm not going to quarrel if It Is Determined that it shouldn't have its own tag. (It's not clear to me whether the criteria are such that there is such a thing as a theorem that's important enough to have its own tag; if there is such a thing I'd certainly put WTT in that class.) — David C. Ullrich 39 mins ago
 

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