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 Yearling
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  • 0 posts edited
  • 1 helpful flag
  • 66 votes cast
Apr
17
asked Is an everywhere differentiable function locally Lipschitz?
Mar
28
comment Generalising Riemann integral to functions with values in a Banach space
I'm aware that it's usually much better to use the Lebesgue integral, but in this case I'm specifically interested in generalising the Riemann integral.
Mar
28
asked Generalising Riemann integral to functions with values in a Banach space
Mar
22
comment Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
Thank you for the answer. Could you also give me a reference where I could find more about this theorem, preferably with a proof?
Mar
22
accepted Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
Mar
22
revised Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
added 27 characters in body
Mar
22
comment Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
My mistake, I was typing in a hurry and incorrectly called f a homeomorphin between X and V, instead of X and f(X)
Mar
22
asked Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
Mar
22
accepted Are all compact subsets of a topological vector space bounded?
Mar
22
comment Are all compact subsets of a topological vector space bounded?
I've edited my question to clarify what I mean by boundedness. This is a notion independent of the metric on the vector space, even if such a metric exists.
Mar
22
revised Are all compact subsets of a topological vector space bounded?
added 235 characters in body
Mar
22
asked Are all compact subsets of a topological vector space bounded?
Mar
19
accepted Elementary proof of topological invariance of dimension using Brouwer's fixed point and invariance of domain theorems?
Mar
19
comment Elementary proof of topological invariance of dimension using Brouwer's fixed point and invariance of domain theorems?
What I want is the proof of what is marked as Corollary 3 in the second link. Supposedly it's an easy consequence of invariance of domain, but for some reason I can't see it.
Mar
19
asked Elementary proof of topological invariance of dimension using Brouwer's fixed point and invariance of domain theorems?
Feb
13
accepted Why is Isom(E,F) open in the set of bounded linear operators between E and F?
Feb
13
revised Why is Isom(E,F) open in the set of bounded linear operators between E and F?
both spaces are supposed to be Banach, not only F
Feb
12
asked Why is Isom(E,F) open in the set of bounded linear operators between E and F?
Feb
11
accepted Good books about differentiation in normed spaces?
Feb
11
asked Proof that second Frechet derivative is symmetric?