List questions from normed-spaces

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For $||x|| \leq ||y||$ is it true that $||x||^4 + ||y||^4 - 2\langle x, y \rangle ^2 \leq 3 ||y||^2 ||x-y||^2$?

Published on 27 Mar 2026 - 4:21

48

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properties of $\min(x_1...x_n)$

Published on 27 Mar 2026 - 2:37

389

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Rescaling stochastic matrix

Published on 27 Mar 2026 - 8:23

323

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Eigenvalues and Eigenvectors of $AA^T$ vs $ADA^T$

Published on 20 Jul 2018 - 21:35

34

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Errors in showing this function is well-defined.

Published on 20 Jul 2018 - 21:58

1.1k

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Equivalence of norms for the space of Hölder continuous functions

Published on 25 Mar 2026 - 8:45

1.4k

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about $C([0,1])$ with sup metric

Published on 29 Mar 2026 - 3:21

3k

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Understanding L2 Regularization Formula

Published on 25 Mar 2026 - 6:16

405

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Convolution operator has norm 1 with respect to $L^2$ norm

Published on 25 Mar 2026 - 22:02

457

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Advice on thinking as an algebraist or topologist to prove theorems in analysis

Published on 27 Mar 2026 - 8:42

74

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Frobenius norm of two related matrices

Published on 22 Mar 2026 - 18:20

42

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Compare $\|h\|^k$ and $\sum_{i_1, \ldots, i_k} h_{i_1}\cdots h_{i_k}$ when $h \ll 0$

Published on 25 Mar 2026 - 19:10

21

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Taxonomic ranks of spaces

Published on 25 Mar 2026 - 8:09

710

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Integral involving l1-norm

Published on 25 Mar 2026 - 2:59

65

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If $C$ is a closed subset of a metric space, then $\bar{B}(C, r)$ is a closed subset also?

Published on 27 Jul 2018 - 12:17

List Question

For $||x|| \leq ||y||$ is it true that $||x||^4 + ||y||^4 - 2\langle x, y \rangle ^2 \leq 3 ||y||^2 ||x-y||^2$?

properties of $\min(x_1...x_n)$

Rescaling stochastic matrix

Eigenvalues and Eigenvectors of $AA^T$ vs $ADA^T$

Errors in showing this function is well-defined.

Equivalence of norms for the space of Hölder continuous functions

about $C([0,1])$ with sup metric

Understanding L2 Regularization Formula

Convolution operator has norm 1 with respect to $L^2$ norm

Advice on thinking as an algebraist or topologist to prove theorems in analysis

Frobenius norm of two related matrices

Compare $\|h\|^k$ and $\sum_{i_1, \ldots, i_k} h_{i_1}\cdots h_{i_k}$ when $h \ll 0$

Taxonomic ranks of spaces

Integral involving l1-norm

If $C$ is a closed subset of a metric space, then $\bar{B}(C, r)$ is a closed subset also?

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