When does a metric induce an inner product?
57619
Norms Induced by Inner Products and the Parallelogram Law
87580
Canonical examples of inner product spaces that are not Hilbert spaces?
44685
Inner product on $C(\mathbb R)$
3537
Show the Euclidean metric and maximum metric are strongly equivalent.
128897
Bounded sequence in a metric space
141643
Showing $\rho (x,y)=\frac{d(x,y)}{1+d(x,y)}$ is a metric
104413
Is the exponential of $-d$ a positive definite kernel for a general metric space $(X, d)$?
125899
Prove$ L^2$ inner product satisfies positivity
37840
Does the Levi-Civita connection determine the metric?
49563
Cauchy nets in a metric space
26299
Minkowski Metric Signature
91276
difference between dot product and inner product
129020
Problem with the Definition of Inner Product Space.
10907
Necessity of completeness of the inner product space in Riesz representation theorem
42266
Show that $d(x,y)=\min \{1,|x-y|\}$ is a metric on $\mathbb R$
36566
Equivalence classes and metric spaces
38372
Ways to compute inner products of tensors