Does every inner product fail to turn $C[0,1]$ into a Hilbert space?
118903
The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product
55533
Tensor Product: Hilbert Spaces
112060
Is complex conjugation needed for valid inner product?
1162
Why $\{\mathbf{0}\}$ has dimension zero?
88153
Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal
103142
Question on equivalence of inner product
89089
Prove that there is a unique inner product on $V$
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
90757
$T$ self-adjoint on Hilbert space $H$, $T^n=T^{n+1}$ will $T$ be an orthogonal projection operator?
107682
Show that if the Riesz map is surjective on $H$, then $H$ is a Hilbert space
154628
What should we understand from the definition of orthogonality in inner product spaces other than $\mathbb R^n$?
144151
An orthonormal set cannot be a basis in an infinite dimension vector space?
57619
Norms Induced by Inner Products and the Parallelogram Law
101861
How do you prove that $tr(B^{T} A )$ is a inner product?
95481
The set of self-adjoint operators over a Hilbert space doesn't form a lattice
105014
Is the zero vector in $\mathbb{R}^n$ by itself a subspace of $\mathbb{R}^n$?
25159
Why does the inverse of the Hilbert matrix have integer entries?