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Martin Sleziak
Martin Sleziak
7:41 AM
This seems like an interesting question to me:
3
Q: Outline of Generic Separable Banach Spaces don't have a Schauder Basis

Konrad WrobelSo, I know P. Enflo showed that there is a separable Banach Space that doesn't satisfy the approximation property. My professor mentioned during class that in fact generic separable Banach Spaces don't have a Schauder basis where generic is in terms of Baire Category with some topology. I was hop...

functional-analysis banach-spaces descriptive-set-theory baire-category schauder-basis
 
Martin Sleziak
Martin Sleziak
7:59 AM
I see that it was cross-posted to MO:
7
Q: Outline of Generic Separable Banach Spaces don't have a Schauder Basis

Konrad WrobelSo, I know P. Enflo showed that there is a separable Banach Space that doesn't satisfy the approximation property. My professor mentioned during class that in fact generic separable Banach Spaces don't have a Schauder basis where generic is in terms of Baire Category with some topology. I was hop...

fa.functional-analysis banach-spaces descriptive-set-theory
 

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