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New posts in inner-products
Multiplicative norm on $\mathbb{R}[X]$.
linear-algebra
polynomials
normed-spaces
inner-products
How to prove that $L^p [0,1]$ isn't induced by an inner product? for $p\neq 2$
complex-analysis
functional-analysis
lebesgue-integral
inner-products
lp-spaces
The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm
real-analysis
functional-analysis
inner-products
lp-spaces
cauchy-sequences
A Banach space that is not a Hilbert space
functional-analysis
hilbert-spaces
banach-spaces
normed-spaces
inner-products
Does taking the dot product of two column vectors involve converting one of the vectors into row vectors first?
linear-algebra
vector-spaces
inner-products
What does orthogonality mean in function space?
linear-algebra
functions
inner-products
orthogonal-polynomials
Why is the matrix-defined Cross Product of two 3D vectors always orthogonal?
linear-algebra
matrices
inner-products
orthogonality
cross-product
Mobius transform and defining an hyperbolic angle
abstract-algebra
matrices
inner-products
mobius-transformation
Canonical examples of inner product spaces that are not Hilbert spaces?
vector-spaces
hilbert-spaces
inner-products
Rigid motion on $\mathbb{R}^2$ which fixes the origin is linear
linear-algebra
inner-products
Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
inner-products
Finding inner product and expression for norm
analysis
normed-spaces
hilbert-spaces
inner-products
A norm which is symmetric enough is induced by an inner product?
linear-algebra
normed-spaces
inner-products
isometry
metric-geometry
To show that orthogonal complement of a set A is closed.
linear-algebra
vector-spaces
inner-products
Double dot product vs double inner product
tensor-products
inner-products
The difference between hermitian, symmetric and self adjoint operators.
functional-analysis
operator-theory
definition
inner-products
A map which commutes with Hodge dual is conformal?
riemannian-geometry
inner-products
conformal-geometry
symmetry
Relation between metric spaces, normed vector spaces, and inner product space.
real-analysis
vector-spaces
metric-spaces
normed-spaces
inner-products
Show that $(2,0,4) , (4,1,-1) , (6,7,7)$ form a right triangle
geometry
proof-verification
vectors
analytic-geometry
inner-products
Showing that $(A_{ij})=\left(\frac1{1+x_i+x_j}\right)$ is positive semidefinite
linear-algebra
matrices
inner-products
positive-definite
positive-semidefinite
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