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New posts in normed-spaces
Hamel Dimension of Infinite Dimensional Separable Banach Space
functional-analysis
analysis
banach-spaces
normed-spaces
Let $x_n$ a sequence in a Banach Space $B$ such that give a $\epsilon>0$, there is a convergent sequence $\{y_n\}$ with $\|y_n-x_n\|<\epsilon$
functional-analysis
normed-spaces
Gradient of squared Frobenius norm
matrices
derivatives
normed-spaces
Proving that $X$ is a Banach space iff convergence of $\sum\|x_n\|$ implies convergence of $\sum x_n$
real-analysis
sequences-and-series
functional-analysis
banach-spaces
normed-spaces
A commutator identity for bounded linear maps and the identity operator of a non-zero normed space is never a commutator
functional-analysis
normed-spaces
Counterexamples of Arzèla Ascoli theorem for non-obeyed criteria
functional-analysis
normed-spaces
Complete Inequivalent Norms
functional-analysis
banach-spaces
normed-spaces
Banach space with respect to two norms must be Banach wrt the sum of the norms?
functional-analysis
banach-spaces
normed-spaces
cauchy-sequences
Proof that multiplying by the scalar 1 does not change the vector in a normed vector space.
linear-algebra
vector-spaces
normed-spaces
Can we define any metric on $\Bbb{R^\omega}$ so that it represents a norm?
functional-analysis
metric-spaces
set-theory
normed-spaces
axiom-of-choice
Linear isometry and operator norm $=1$
functional-analysis
normed-spaces
Norm of a vector-valued function?
definition
normed-spaces
How to show $\text{Given any sequence} (x^{(n)}) _{n\in\mathbb{N}}\text{ converges to } x \text{ in } (X ,|| •||), \text {X :finite dimensional NLS?}$
metric-spaces
normed-spaces
Is a completion of an algebraically closed field with respect to a norm also algebraically closed?
abstract-algebra
field-theory
normed-spaces
banach-spaces
How to decompose a normed vector space into direct sums with a kernel of functions.
functional-analysis
normed-spaces
dual-spaces
direct-sum
Show that the operator is invertible
functional-analysis
operator-theory
banach-spaces
normed-spaces
Proving Holder's inequality for Schatten norms
linear-algebra
inequality
normed-spaces
Show that norm of matrix $A$ is given by the square root of the largest eigenvalue of $A^tA$
linear-algebra
matrices
eigenvalues-eigenvectors
normed-spaces
Inequalities in $l_p$ norm
real-analysis
analysis
inequality
normed-spaces
lp-spaces
Norm with symmetric positive definite matrix
linear-algebra
normed-spaces
inner-products
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