List questions from normed-spaces

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Proving if L2 converges, then L1 as well.

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Example of a non-closed subspace such that the quotient is not a Banach space

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Computing natural pseudo distance.

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Proof of the convexity of the unit circle using the distance between two points

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Prove that $d(T_1,T_2)=\|T_1-T_2\|$ is a metric on $V$

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existence of a finite set which is $\epsilon$-dense (compactness)

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Do elements of a finite field extension of degree 2 with norm 1 form a group?

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Upper bound of norm of matrix difference

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List Question

Equivalence between squared-norm and norm inequalities

Norms of higher order Lp spaces

Proving if L2 converges, then L1 as well.

Bounds on complex vector equations using the 2-norm

Understanding Matrix Norms

Proving that $A$ is a closed set.

Example of a non-closed subspace such that the quotient is not a Banach space

Computing natural pseudo distance.

Proof of the convexity of the unit circle using the distance between two points

Frechet Differentiation and Equivalent Norm examples

Prove that $d(T_1,T_2)=\|T_1-T_2\|$ is a metric on $V$

existence of a finite set which is $\epsilon$-dense (compactness)

Reference for the bounded linear transformation theorem?

Do elements of a finite field extension of degree 2 with norm 1 form a group?

Upper bound of norm of matrix difference

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