List questions from normed-spaces

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Properties of a norm defined using the resolvent of an operator

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How to show a normed space $X$ is reflexive if the weak topology and weak* topology on $X^*$ are equal?

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2-norm of product of normal matrix and vector

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Countable dimensional normed space incomplete

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Isometrically embed $K$-gon into $\mathbb{R}^N$

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Equivalence of norm minimization

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Compute the operator norm of this linear transformation

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List Question

Isometrically embed a pentagon into $\mathbb{R}^2$

A map that preserves unit distances is an isometry

Calculating Multivariable Limits

The "$p$-norm" with $0<p<1$ is quasiconcave for nonnegative vectors

Properties of a norm defined using the resolvent of an operator

How to show a normed space $X$ is reflexive if the weak topology and weak* topology on $X^*$ are equal?

2-norm of product of normal matrix and vector

Let $X$ be a normed space and $Y$ be a proper dense linear subspace of $X$. Then how to show $Y^\cong X^$?

Countable dimensional normed space incomplete

Isometrically embed $K$-gon into $\mathbb{R}^N$

If $x,y \in \mathbb{C}^m$ prove $x^*y = \|x\|_2\|y\|_2 \cos \alpha$

Equivalence of norm minimization

Compute the operator norm of this linear transformation

The properties of $c_{00}$.

What is the expected value of the norm of a random vector with Gaussian distribution?

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