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New posts in normed-spaces
Inequality between induced matrix norms implies equality
matrices
normed-spaces
On the convexity of element-wise norm 1 of the inverse
convex-analysis
normed-spaces
convex-optimization
inverse
Operator norm is equal to max eigenvalue
linear-algebra
matrices
normed-spaces
Can the sum of two measurable functions be non-measurable if they are valued in a general normed space instead of $ \mathbb{R} $?
measure-theory
normed-spaces
Cauchy-Schwarz for sums of products of matrices
linear-algebra
matrices
normed-spaces
cauchy-schwarz-inequality
Finite norm of sequence implies convergence of sequence?
functional-analysis
lp-spaces
normed-spaces
complete-spaces
What matrices preserve the $L_1$ norm for positive, unit norm vectors?
linear-algebra
matrices
vector-spaces
normed-spaces
Is there a lower-bound version of the triangle inequality for more than two terms?
estimation
inequality
normed-spaces
absolute-value
Show that the sup-norm is not derived from an inner product
normed-spaces
inner-products
C$^*$-algebras: When is there equality in the triangle inequality?
functional-analysis
normed-spaces
operator-algebras
c-star-algebras
Proving that $\|A\|_{\infty}$ the largest row sum of absolute value of matrix $A$
linear-algebra
matrices
normed-spaces
inequality near $0$ with arbitrary norm
real-analysis
analysis
inequality
normed-spaces
How does one prove that the spectral norm is less than or equal to the Frobenius norm?
matrices
normed-spaces
matrix-norms
spectral-norm
How convergence relates to equivalence of norms
real-analysis
normed-spaces
Norm of a Matrix-vector product
matrices
normed-spaces
products
vectors
Proof of uniqueness of the bounded linear transformation extended in the Bounded Linear Transformation theorem
functional-analysis
normed-spaces
Any finite metric space can be isometrically embedded in $(\mathbb R^n,||\cdot||_\infty)$ for some $n$?
metric-spaces
normed-spaces
isometry
Notation: $L_p$ vs $\ell_p$
notation
normed-spaces
lp-spaces
Basic question about $\sup_{x\neq 0}{} \frac{\|Ax\|}{\|x\|} = \sup_{\|x\| = 1}{\|Ax\|} $, $x \in\mathbb{R}^n$
matrices
functional-analysis
normed-spaces
Poincaré inequality using $H^1$ seminorm
functional-analysis
inequality
sobolev-spaces
normed-spaces
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