New posts in normed-spaces

If the dual spaces are isometrically isomorphic are the spaces isomorphic?

functional-analysis banach-spaces normed-spaces

Why is Frobenius norm of a matrix greater than or equal to the 2 norm?

matrices normed-spaces equivalence-relations matrix-norms spectral-norm

Is it possible to characterize completeness of a normed vector space by convergence of Neumann series?

functional-analysis operator-theory banach-spaces normed-spaces

Norm of a functional on $C[a,b]$

functional-analysis linear-transformations normed-spaces

Distance between point and linear Space

functional-analysis normed-spaces

Every separable Banach space is isomorphic to $\ell_1/A$ for some closed $A\subset \ell_1$

functional-analysis convergence-divergence banach-spaces normed-spaces

Proof of matrix norm property: submultiplicativity

matrices proof-writing normed-spaces

Why is the norm of a matrix larger than its eigenvalue?

linear-algebra matrices eigenvalues-eigenvectors normed-spaces

An example of a norm which can't be generated by an inner product

inner-products examples-counterexamples normed-spaces

Equivalence of reflexive and weakly compact

functional-analysis banach-spaces normed-spaces compactness

Why are every structures I study based on Real number?

real-analysis metric-spaces normed-spaces inner-products

How many elements in a number field of a given norm?

algebraic-number-theory analytic-number-theory normed-spaces

Proof for why a matrix multiplied by its transpose is positive semidefinite

matrices normed-spaces

Why is minimizing the nuclear norm of a matrix a good surrogate for minimizing the rank?

linear-algebra matrices normed-spaces matrix-rank nuclear-norm

Frobenius norm of product of matrix

linear-algebra matrices normed-spaces matrix-norms

Derivation of the polarization identities?

normed-spaces inner-products

Average norm of a N-dimensional vector given by a normal distribution

normal-distribution normed-spaces random vectors

Are two norms equivalent if they induce the same topology on a vector space?

general-topology functional-analysis normed-spaces

The weak$^*$ topology on $X^*$ is not first countable if $X$ has uncountable dimension.

real-analysis functional-analysis normed-spaces

Norm induced by convex, open, symmetric, bounded set in $\Bbb R^n$.

vector-spaces convex-analysis normed-spaces