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New posts in inner-products
Dot product with which polynomial gives evaluation at $x_0$?
linear-algebra
polynomials
inner-products
Is it possible to define an inner product such that an arbitrary operator is self adjoint?
linear-algebra
functional-analysis
vector-spaces
inner-products
adjoint-operators
Prob. 8, Sec. 3.5 in Erwin Kreyszig's Introductory Functoinal Anlaysis With Applications
real-analysis
analysis
functional-analysis
hilbert-spaces
inner-products
Show that $\langle x,y\rangle_A = \langle Ax,Ay\rangle$ is an inner product on $\mathbb R^n$
linear-algebra
inner-products
Understanding Spectral Theorem
linear-algebra
inner-products
Dot product over complex vectors: Conjugate first or second?
matlab
inner-products
Norm with symmetric positive definite matrix
linear-algebra
normed-spaces
inner-products
Why does the fact that "$Tv$ is orthogonal to $v$ for all $v$ implies T is the zero operator" break down for real inner product spaces?
linear-algebra
complex-analysis
inner-products
proof-explanation
If ${\bf v},{\bf w}\in\mathbb R^n$, $\lVert{\bf v}+{\bf w}\rVert=\lVert{\bf v}\rVert+\lVert{\bf w}\rVert$, what can you say about $\bf v$ and $\bf w$?
linear-algebra
vectors
normed-spaces
inner-products
orthogonality
An inequality on products of squared norms and dot products
linear-algebra
inequality
inner-products
What is the dot product of complex vectors?
complex-numbers
inner-products
matlab
Prove the following three conditions are equivalent. 1 $u=cv,c>0$. 2 $(u|v)=||u||||v||$. 3 $||u+v||=||u||+||v||$.
linear-algebra
inner-products
Inner product of a quotient space
linear-algebra
inner-products
bilinear-form
Components of vector as an inner product
linear-algebra
inner-products
orthonormal
An inner product on $\mathcal{C}[a,b]$
functional-analysis
inner-products
A Banach Manifold with a Riemannian Metric?
soft-question
inner-products
manifolds
Show that the sup-norm is not derived from an inner product
normed-spaces
inner-products
How to show an inequality in an inner product space?
vector-spaces
inner-products
cauchy-schwarz-inequality
geometric-inequalities
Prove projection is self adjoint if and only if kernel and image are orthogonal complements
linear-algebra
vector-spaces
inner-products
Is the dot product on $\mathbf{R}^n$ ($n\ge 2$) Lipschitz?
multivariable-calculus
inner-products
lipschitz-functions
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