In construction of an inner product that maps from a vector space to a dual, what makes the map considered to be natural?
128266
Dual Spaces and Natural maps
128985
Show that $\langle x,y\rangle_A = \langle Ax,Ay\rangle$ is an inner product on $\mathbb R^n$
128917
Inner Product on $\mathbb{R}$ and on $\mathbb{C}$
101861
How do you prove that $tr(B^{T} A )$ is a inner product?
94047
How I could define a inner product in the characters in $SL(2, \mathbb R)$
44685
Inner product on $C(\mathbb R)$
132487
Proving that if $V$ is an inner product space and $U_1, U_2$ are subsets, then $U_1 \subset U_2$ if and only if $U^{\perp}_2 \subset U^{\perp}_1$
59133
Show that an inverse of a bijective linear map is a linear map.
57660
Biliniear form to inner product
109080
Is the kernel of a map to a finitely presented module finitely generated?
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
31421
Transpose inverse automorphism is not inner
115012
Klein-Gordon inner product
55533
Tensor Product: Hilbert Spaces
149664
Norm is sup of inner products (proof).
60934
What is a complex inner product space "really"?