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Darby Bond's user avatar
Darby Bond's user avatar
Darby Bond
  • Member for 3 years, 11 months
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8 votes
0 answers
120 views

Direct Proof of Archimedian Property

7 votes
0 answers
189 views

Suppose $T$ is an operator on $V$ and $T^2 = I$ and $-1$ is not an eigenvalue of $T$. Prove that $T = I$.

2 votes
1 answer
256 views

Is this proof of “$ST = I \iff TS = I$” correct?

2 votes
0 answers
34 views

Halmos’s word definition of union

1 vote
2 answers
104 views

Is the set of functions from $[0,1]$ to $\mathbb{R}$ i.e. $[0,1]^{\mathbb{R}}$ a vector space?

1 vote
1 answer
51 views

Valid alternative proof that if $\sum{a_n}$ with $a_n > 0$ is convergent, then $\sum{\sqrt{a_n a_{n+1}}}$ is always convergent?

1 vote
1 answer
70 views

Why use $\mathcal{B}(\mathbb{R})$ instead of $\mathcal{P}(\mathbb{R})$ for second sigma-algebra when defining random variables?

1 vote
2 answers
67 views

How can one prove that $\bigcup^\infty_{n=1} [0, \frac n{n+1} ) = [0, 1)$?

1 vote
0 answers
86 views

Proving that filtration of generated $\sigma$-algebras is smallest adapted filtration

1 vote
1 answer
37 views

How do you construct interval $(a, b)$ using just intervals of the form $(b, \infty)$?

0 votes
0 answers
78 views

Convergence behaviour of Quadratic Variation of Brownian Motion

0 votes
1 answer
111 views

If a random variable $X$ is integrable, how do we show that $X^2$ is also integrable? [closed]

0 votes
2 answers
56 views

What is the intuitive reason for this inequality?

0 votes
3 answers
61 views

Are all linear maps injective on non-null space?

0 votes
0 answers
53 views

If $a \in b$ is it possible that $b \in a$? [duplicate]

0 votes
1 answer
88 views

Is this a valid proof of the Boundedness Theorem?