Aug
30
asked Fourier transform of $L^1$ function is the convolution of an $L^2$ function with itself
Aug
29
comment (Proof Verification) Prove that $X$ is connected if and only if the only subsets of $X$ that are clopen are $X$ and ∅
$X = A \cup A^c$ and $A \cap A^c = \emptyset$.
Aug
29
comment (Proof Verification) Prove that $X$ is connected if and only if the only subsets of $X$ that are clopen are $X$ and ∅
But you are assuming that $A$ is clopen, i.e., both closed and open. Therefore $A^c$ is also both closed and open.
Aug
29
comment (Proof Verification) Prove that $X$ is connected if and only if the only subsets of $X$ that are clopen are $X$ and ∅
If $A$ is clopen then $A$ and $A^c$ are both open.
Aug
22
awarded Nice Question
Aug
21
comment No bounded surjective linear map $L^{\infty} \to L^1$
@mathworker21 Sorry that was a typo. I fixed it.
Aug
21
revised No bounded surjective linear map $L^{\infty} \to L^1$
added 17 characters in body
Aug
21
asked Norm topology and weak topology induce the same Borel sigma algebra on a Hilbert space
Aug
20
asked No bounded surjective linear map $L^{\infty} \to L^1$
Aug
19
accepted Confusing sign error in proof of Jensen's formula
Aug
19
asked Confusing sign error in proof of Jensen's formula
Aug
14
asked Bounded harmonic function on slit upper half-plane
Jul
19
accepted $\textrm{Re}(f'(z)) > 0$ but $f$ is not injective.
Jul
19
asked $\textrm{Re}(f'(z)) > 0$ but $f$ is not injective.
Jul
17
awarded Popular Question
Jul
4
accepted Strange contour integral
Jul
3
comment Strange contour integral
@KevinNivek Yes
Jul
3
asked Strange contour integral
Jun
18
awarded Lifejacket
May
24
accepted Weight $2$ Eisenstein series transformation
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