New posts in inner-products

Multiplicative norm on $\mathbb{R}[X]$.

How to prove that $L^p [0,1]$ isn't induced by an inner product? for $p\neq 2$

The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm

A Banach space that is not a Hilbert space

Does taking the dot product of two column vectors involve converting one of the vectors into row vectors first?

What does orthogonality mean in function space?

Why is the matrix-defined Cross Product of two 3D vectors always orthogonal?

Mobius transform and defining an hyperbolic angle

Canonical examples of inner product spaces that are not Hilbert spaces?

Rigid motion on $\mathbb{R}^2$ which fixes the origin is linear

Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$

Finding inner product and expression for norm

A norm which is symmetric enough is induced by an inner product?

To show that orthogonal complement of a set A is closed.

Double dot product vs double inner product

The difference between hermitian, symmetric and self adjoint operators.

A map which commutes with Hodge dual is conformal?

Relation between metric spaces, normed vector spaces, and inner product space.

Show that $(2,0,4) , (4,1,-1) , (6,7,7)$ form a right triangle

Showing that $(A_{ij})=\left(\frac1{1+x_i+x_j}\right)$ is positive semidefinite