How would we define an inner product on the space $C[a,b]$ with sup-norm?
49087
Show that a norm on an inner product space satisfies parallelogram law.
123505
how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
33485
norm of integral operator in $C([0,1])$
89089
Prove that there is a unique inner product on $V$
116273
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
150572
Explicit norm on $\mathcal{C}^0(\mathbb{R},\mathbb{R})$
57619
Norms Induced by Inner Products and the Parallelogram Law
50160
The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.
76140
The supremum norm is submultiplicative
125899
Prove$ L^2$ inner product satisfies positivity
51177
When are two norms equivalent on a Banach space?
97158
Prove that the operator norm is a norm
73254
spectral radius in normed space is subadditive.
97949
Existence of a $\mathbb C$-Banach space isometric to a Hilbert Space but whose norm is not induced by an inner product?
129549
Showing that the orthogonal projection in a Hilbert space is compact iff the subspace is finite dimensional
118903
The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product
31919
What can we say about the inner product $\langle f(t),f'(t) \rangle$?