Show that if $\langle u,v\rangle_1=0\implies\langle u,v\rangle_2=0$ then $\langle{\cdot},{\cdot}\rangle_1=c\langle{\cdot},{\cdot}\rangle_2$
71316
Two inner products being equal up to a scalar
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
156712
Geometrical or Physical significance (interpretation) of the inner-product $\langle A,B \rangle := Trace (AB^t)$ over $M_n(\mathbb R)$
89089
Prove that there is a unique inner product on $V$
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
102990
Prove or disprove: $S_{10} = \langle (1,3),(1,2, ... ,10) \rangle$
150199
How to prove for a finite group that $|\langle g \rangle|=o(g)$?
62342
$x_1 \cdot \dots \cdot x_n=1 \implies x_1 + \dots + x_n \ge n$
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
59067
How to prove that if the expectation value of $A$ in any state is real, then $A$ is Hermitian?
103142
Question on equivalence of inner product
9140
Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
27086
proof for $\langle q| p \rangle = e^{ipq}$
16692
a representation condition of Hilbert space
150720
Given that $W$ is a subspace of $V$, prove: $\dim W=\dim V \implies W=V$
45028
How to show that $\langle a \rangle$ is a subgroup of a group $G$, where $a$ is in center of the group $G$
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$