New posts in normed-spaces

Writing the unit $\ell_1$-ball in $\mathbb{R}^n$ as the intersection of closed half-spaces

Does $||f'||_\infty \leq \sqrt{t_F-t_0}\,||f'||_2$ hold for time-limited continuous functions $f(t)$ with $\sup_t |f'(t)|<\infty$?

C[0,1] is not complete with respect to integral norm [closed]

Monotone matrix norms

Inequivalent norms

Are there any "other" ways to show a normed space is NOT an inner product space?

Subspaces of separable normed spaces

Existence of norm for C*-Algebra

Proximal Operator of the Euclidean Norm ($ {L}_{2} $ Norm) without Using Moreau Decomposition

Example of a Bounded Linear Operator with Unbounded Spectrum.

Is the image of a scaled unit ball equal to the scalar times image of unit ball?

relations between distance-preserving, norm-preserving, and inner product-preserving maps

If the inner product induces the l2 norm, what kind of non-inner product induces a general Lp norm where $p \neq 2$?

Can a norm take infinite value? For example, $\|\cdot \|_1$?

Inequalities of $H^s$-norm, $(s=0,1)$ $\|v\|^2_s \leq \sqrt2 \|v\|_{s-1}\|v\|_{s+1}$ when $v\in H^{s+1}(\Omega) \cap H_0^1(\Omega)$

All norms of $\mathbb R^n$ are equivalent

Is every normed vector space, an inner product space

Condition number of a product of two matrices

norm of integral operator in $C([0,1])$

Any positive linear functional $\phi$ on $\ell^\infty$ is a bounded linear operator and has $\|\phi \| = \phi((1,1,...)) $