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Results tagged with fa.functional-analysis
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user 35006
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
3
votes
0
answers
167
views
Deleting "weak homeomorphism" in a Hilbert space
It is well-known that there exists a homeomorphism $h$
from an infinite-dimensional Hilbert space $H$ to $H\setminus\{0\}$.
Does there exist a "weak homeomorphism" $g:H \to H\setminus\{0\}$,
that is, …
- 91
6
votes
0
answers
259
views
Explicit form of the homeomorphism between $C[0,1]$ and $C[0,1]\setminus 0$
How to construct the homeomorphism between $C[0,1]$ and $C[0,1]\setminus\{\theta\}$
in the explicit form?
Here, as usual, $C[0,1]$ is the Banach space of continuous functions $f:[0,1]\to\mathbb{R}$ w …
- 91