>mfw today I learned what a Banach Space is
But you still can't pronounce it.
>>7729403
Bornek
>>7729403
ˈbanax
>>7729403
banus
>>7729403
Buhnaz
>>7729403
I'm not English or American so I can pronounce it fine
I need a banax
Bane-ux?
>>7729497
Tell me about Banach. Why does he carry the norm?
>>7729570
Because it made him feel complete?
Banach spaces are cool. They have rich spaces of bounded linear maps to a scalar field, and you can use these spaces to give the original space a new topology which is strong enough to define properties you care about yet weak enough to be locally compact. Local compactness -> existence results, because it's a complete metric space.
>>7729661
https://www.youtube.com/watch?v=n12bfWTw9Hk
>>7729403
Ban-ackh
How is that not obvious?
>>7729661
Oh, whoopsy, that last line should be:
Local compactness + a lot of work -> existence results, because it's not simultaneously a complete metric space and a locally compact space, but it has two structures that require work to go between.
>>7729403
Zimbabwe
>>7729671
Its actually pronounced ban-aks
No shit
Check wikipedia
>>7730406
No, it's pronounced "Baaah-nah-kh"
>>7731686
It's clearly pronounced "Ba-na-na-kh?" (with the inflection of a question at the end)
It's like you've never taken a class in elementary functional analysis desu
>>7729384
> what's a yellow space with positive curvature ?
a bananach space