List questions from normed-spaces

Published on 14 Mar 2018 - 10:32

982

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On the proof that $\|\cdot\|_1,\|\cdot\|_2,\|\cdot\|_\infty$ are equivalent on $\mathbb R^n$

Published on 26 Mar 2026 - 10:46

1.2k

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Prove that $||x+y|| \leq ||x|| +||y||$

Published on 14 Mar 2018 - 20:46

758

Views

Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space

Published on 25 Mar 2026 - 14:31

338

Views

Maximize the spectral norm of a correlation matrix by scrambling its off-diagonal elements

Published on 26 Mar 2026 - 12:06

562

Views

$l_p$ norm and Banach

Published on 25 Mar 2026 - 6:01

343

Views

Stuck on computing operator norm

Published on 15 Mar 2018 - 13:24

75

Views

Verify the well-defined in the proof of Hahn Banach Theorem.

Published on 25 Mar 2026 - 14:34

789

Views

Supremum norm in $\mathbb{R}^{2}$

Published on 26 Mar 2026 - 20:38

129

Views

Triangle Inequality Trouble in a Norm

Published on 16 Mar 2018 - 21:12

702

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Completion with respect to stronger norm is no subset?

Published on 17 Mar 2018 - 12:31

43

Views

Proving that the norm of the Energy Casimir method is indeed a norm

Published on 17 Mar 2018 - 15:00

131

Views

How to prove $1 \leq ||f||^p_p ||g||^p_p $?

Published on 17 Mar 2018 - 17:23

7.4k

Views

Finding the derivative of the infinity norm

Published on 25 Mar 2026 - 1:24

114

Views

Showing two definitions of the pseudospectrum are equivalent 2

Published on 18 Mar 2018 - 0:22

List Question

Prove $\left\|x\right\|_2\leq\sqrt{n}\left\|x\right\|_\infty$

On the proof that $\|\cdot\|_1,\|\cdot\|_2,\|\cdot\|_\infty$ are equivalent on $\mathbb R^n$

Prove that $||x+y|| \leq ||x|| +||y||$

Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space

Maximize the spectral norm of a correlation matrix by scrambling its off-diagonal elements

$l_p$ norm and Banach

Stuck on computing operator norm

Verify the well-defined in the proof of Hahn Banach Theorem.

Supremum norm in $\mathbb{R}^{2}$

Triangle Inequality Trouble in a Norm

Completion with respect to stronger norm is no subset?

Proving that the norm of the Energy Casimir method is indeed a norm

How to prove $1 \leq ||f||^p_p ||g||^p_p $?

Finding the derivative of the infinity norm

Showing two definitions of the pseudospectrum are equivalent 2

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