New posts in normed-spaces

Is the convex hull of a compact set compact?

functional-analysis representation-theory convex-analysis compactness normed-spaces

Show that the operator norm is submultiplicative

real-analysis inequality linear-transformations normed-spaces matrix-norms

Showing that $l_2$ norm is smaller than $l_1$

linear-algebra inequality normed-spaces

Hahn-Banach Theorem for separable spaces without Zorn's Lemma

functional-analysis vector-spaces normed-spaces axiom-of-choice hahn-banach-theorem

Banach Spaces - How can $B,B',B'', B''', B'''',B''''',\ldots$ behave?

functional-analysis banach-spaces normed-spaces

Proof that every finite dimensional normed vector space is complete

How to prove triangle inequality for $p$-norm?

real-analysis metric-spaces normed-spaces

Finite dimensional subspace of $C([0,1])$

real-analysis analysis functional-analysis vector-spaces normed-spaces

On the norm of a quotient of a Banach space.

functional-analysis banach-spaces normed-spaces quotient-spaces

Can we conclude that $\text {rank}\ P = k\ $? [closed]

vector-spaces normed-spaces projection

Is closure of convex subset of $X$ is again a convex subset of $X$?

vector-spaces convex-analysis normed-spaces

Why is $L^{\infty}$ not separable?

real-analysis functional-analysis normed-spaces lp-spaces separable-spaces

A convex subset of a Banach space is closed if and only if it is weakly closed

general-topology functional-analysis convergence-divergence normed-spaces

Dual norm intuition

functional-analysis convex-analysis normed-spaces

$T$ is continuous if and only if $\ker T$ is closed

functional-analysis normed-spaces

Every proper subspace of a normed vector space has empty interior

vector-spaces normed-spaces

Explicit norm on $\mathcal{C}^0(\mathbb{R},\mathbb{R})$

functional-analysis axiom-of-choice normed-spaces

An example of a non closed linear map.

functional-analysis normed-spaces closed-map

Is there any function from $C[0,1]$ such that $f(x)=x^2+\int_0^x e^{-t}f(t) dt$?

real-analysis functional-analysis normed-spaces

Gradient of squared $2$-norm

multivariable-calculus vector-analysis normed-spaces scalar-fields