Show $\alpha$ is selfadjoint.
36090
$TT^*=T^2$, show that $T$ is self-adjoint
108329
If $T\alpha=c\alpha$, then there is a non-zero linear functional $f$ on $V$ such that $T^{t}f=cf$
21881
Prove that $\forall\alpha\geq\omega$, $|L_\alpha|=|\alpha|$ without AC
128229
Proving that the transformation obtained from an adjoint pair is natural
34702
Show $|A + uv^T| = (1 + v^T A^{-1} u) |A|$
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
67483
Show that $|a-b|<\epsilon \Rightarrow |a|<|b|+\epsilon$
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
46730
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
26687
Show that $f$ maps the unit circle to itself
79679
Let $\alpha, \beta \in \mathbb{C}$, such that $\alpha + \beta$, and $\alpha\beta$ are algebraic. Show that $\alpha$ and $\beta$ are algebraic.
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
19424
Showing $(M^\perp)^\perp=\overline{M}$
39082
Proving $x^\alpha-\alpha x \le 1- \alpha $
80939
How to show that every $\alpha$-Hölder function, with $\alpha>1$, is constant?
101286
How show that $|a_{n}-1|\le c\lambda ^n,\lambda\in (0,1)$
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$