fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 day agoListen here, Little Dickymander.xyzimagemessage-square50fedilinkarrow-up1396arrow-down15
arrow-up1391arrow-down1imageListen here, Little Dickymander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 day agomessage-square50fedilink
minus-squareiAvicenna@lemmy.worldlinkfedilinkEnglisharrow-up21·edit-21 day agoLook it is so simple, it just acts on an uncountably infinite dimensional vector space of differentiable functions.
minus-squaregandalf_der_12te@discuss.tchncs.delinkfedilinkEnglisharrow-up3·edit-215 hours agofun fact: the vector space of differentiable functions (at least on compact domains) is actually of countable dimension. still infinite though
minus-squareiAvicenna@lemmy.worldlinkfedilinkEnglisharrow-up1·edit-212 hours agoDoesn’t BCT imply that infinite dimensional Banach spaces cannot have a countable basis
Look it is so simple, it just acts on an uncountably infinite dimensional vector space of differentiable functions.
fun fact: the vector space of differentiable functions (at least on compact domains) is actually of countable dimension.
still infinite though
Doesn’t BCT imply that infinite dimensional Banach spaces cannot have a countable basis