Can we define an inner product such that its induced norm is $\ell^{1}$-norm or others?
12189
Prove norm doesn't come from inner product.
143869
Showing that the norm of the canonical projection $X\to X/M$ is $1$
69766
Is every normed vector space, an inner product space
128917
Inner Product on $\mathbb{R}$ and on $\mathbb{C}$
20921
If $A$ and $B$ are linear transformations on a finite-dimensional inner product space, and if $\textbf{0} \leq A \leq B$, then det $A \leq$ det $B$.
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
62425
Equivalent Definitions of the Operator Norm
150572
Explicit norm on $\mathcal{C}^0(\mathbb{R},\mathbb{R})$
55067
Norm of self-adjoint operator
94047
How I could define a inner product in the characters in $SL(2, \mathbb R)$
139272
On the norm of a quotient of a Banach space.
1475
In an incomplete inner product space, is a closed linear subspace equal to the orthogonal complement of its orthogonal complement?
145535
Product norm on infinite product space
144656
Linear functional and a bounded norm
81240
Norm of an inverse operator: $\|T^{-1}\|=\|T\|^{-1}$?
95601
Is the multiplication operator on $\ell^p$ compact?
69893
An inner product space and its proper closed subspace with trivial orthogonal complement