1d
comment Prove that there are at most a countable amount of $x \in X$ with $\{ x \} \in \mathcal{A}$ so that $\mu(x) > 0$.
If uncountably many $x$ have positive measure, there is a positive integer $n$ so that $\mu(\{x\})$ exceeds $1/n$ for infinitely many $x$.
1d
comment Finding the basis of a null space
@ADG You're right, thanks! I've corrected it.
1d
revised Finding the basis of a null space
deleted 3 characters in body
Feb
8
comment Why is the function continuous at a point which gives the case 0/0?
The domain is not $\Bbb R$; the function isn't defined at $2$ nor at $-2$.
Feb
7
comment Name of the inequality $|x|+|y| \geq |x+y|$?
Still called the "triangle" inequality.
Feb
7
comment calculate radius of circle that by given length of square that is inside it
Hint: The "subtriangles" in the red triangle are similar.
Feb
5
comment closed subspace of a linear space
Yes, that's one characterization.
Feb
4
comment Prove dimension finiteness for a separable subspace of $L^\infty(0,1)$.
You don't, since that's not true.
Feb
3
comment Subspace of a weakly sequentially complete is weakly sequentially complete
Yes. See Norbert's answer here.
Jan
31
comment If two subspaces have the same basis are they equal?
Yes, that's right.
Jan
30
awarded Enlightened
Jan
30
awarded Nice Answer
Jan
28
answered Give an example of two closed disjoint sets $F$ and $G$ (subsets of $\mathbb{R}$) such that $\inf\{|x-y|; x\in F, y\in G\}=0$.
Jan
28
comment Give an example of two closed disjoint sets $F$ and $G$ (subsets of $\mathbb{R}$) such that $\inf\{|x-y|; x\in F, y\in G\}=0$.
$\{1,2,\ldots\}$ and $\{1+1/2,2+1/3,\ldots\}$.
Jan
27
comment How Many Circles go Through 3 Distinct Points of $\mathbb{R}^2 $
The perpendicular bisector of a chord of a circle passes through the center of the circle.
Jan
23
comment Why is my counterexample of this Theorem wrong or invalid?
$3$ is not every epsilon.
Jan
22
comment Good reference for Fourier Analysis
@user254665 Did you mean Zygmund?
Jan
19
comment When does convergence of Cesàro mean imply convergence
@user254665 The question was edited; the comment is no longer relevant.
Jan
18
revised How do I determine the graph of functions involving radicals?
edited tags
Jan
14
comment $(f_n)$ in $L^p(\Omega)$ satisfying $f_n(x) \to f(x)$ a.e. and $\|f_n\|_p \to \|f\|_p$, then $\|f_n - f\|_p \to 0$?
See this.
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