Question

Why is $\lvert x:\lvert T(g)(x)\rvert>\alpha \rvert\le\alpha^{-p}\lvert\lvert T(g)\rvert\rvert^p_{L^p}$

score 32 · Answer 1 · 2026-04-20 04:06:47

32

Views

Why is $\lvert x:\lvert T(g)(x)\rvert>\alpha \rvert\le\alpha^{-p}\lvert\lvert T(g)\rvert\rvert^p_{L^p}$

Published on 20 Apr 2026 - 4:06

score 35 · Answer 2 · 2026-04-15 11:13:17

35

Views

Show that $\Lambda$ is continuous and $\Vert\Lambda\Vert_*=\Vert g \Vert_{p'}.$

Published on 15 Apr 2026 - 11:13

score 936 · Answer 3 · 2026-04-11 02:39:13

936

Views

A linear map that is contraction in one norm, but not in Euclidean

Published on 11 Apr 2026 - 2:39

score 1.1k · Answer 4 · 2026-04-13 10:33:14

1.1k

Views

Invariant norms of tensors

Published on 13 Apr 2026 - 10:33

score 261 · Answer 5 · 2026-04-15 03:39:16

261

Views

Question regarding Normed Vector Spaces

Published on 15 Apr 2026 - 3:39

score 58 · Answer 6 · 2026-04-16 19:47:20

58

Views

Can you help to prove this property?

Published on 16 Apr 2026 - 19:47

score 128 · Answer 7 · 2026-04-10 19:44:41

128

Views

What is $\|\nabla u\|_{L^p}$?

Published on 10 Apr 2026 - 19:44

score 611 · Answer 8 · 2026-04-16 04:59:07

611

Views

Let $P \in M_n(\mathbb C)$ be idempotent. Prove that all nonzero singular values of $P$ satisfy $\sigma_i \ge 1$

Published on 16 Apr 2026 - 4:59

score 2k · Answer 9 · 2026-04-16 10:31:13

2k

Views

Every Cauchy sequence in a normed vector space is bounded

Published on 16 Apr 2026 - 10:31

score 324 · Answer 10 · 2026-04-10 08:59:52

324

Views

Solve a matrix equation involving a Frobenius norm

Published on 10 Apr 2026 - 8:59

score 1000 · Answer 11 · 2026-04-11 11:51:03

1000

Views

If $\|\cdot\|$ is a submultiplicative norm, when does $\|AB\| = \|A\| \|B\|$?

Published on 11 Apr 2026 - 11:51

score 76 · Answer 12 · 2026-04-12 14:44:40

76

Views

Help with a definition of the norm $\parallel\!~f~\!\parallel_{0}$

Published on 12 Apr 2026 - 14:44

score 48 · Answer 13 · 2026-04-11 09:39:00

48

Views

Bounding $\|A^{-1}\|$ in terms of $\det A$ where $A$ is an integer matrix

Published on 11 Apr 2026 - 9:39

score 17 · Answer 14 · 2026-04-16 22:33:54

17

Views

norm equivalence : $\mathbb S^2(0,T)=\mathbb H^2(0,T)$?

Published on 16 Apr 2026 - 22:33

score 41 · Answer 15 · 2026-04-17 02:34:10

41

Views

Calculate the norm $A(f)$ in $C_{\mathbb{R}}[0,1] \rightarrow \mathbb{R} $

Published on 17 Apr 2026 - 2:34

List Question

Why is $\lvert x:\lvert T(g)(x)\rvert>\alpha \rvert\le\alpha^{-p}\lvert\lvert T(g)\rvert\rvert^p_{L^p}$

Show that $\Lambda$ is continuous and $\Vert\Lambda\Vert_*=\Vert g \Vert_{p'}.$

A linear map that is contraction in one norm, but not in Euclidean

Invariant norms of tensors

Question regarding Normed Vector Spaces

Can you help to prove this property?

What is $\|\nabla u\|_{L^p}$?

Let $P \in M_n(\mathbb C)$ be idempotent. Prove that all nonzero singular values of $P$ satisfy $\sigma_i \ge 1$

Every Cauchy sequence in a normed vector space is bounded

Solve a matrix equation involving a Frobenius norm

If $\|\cdot\|$ is a submultiplicative norm, when does $\|AB\| = \|A\| \|B\|$?

Help with a definition of the norm $\parallel\!~f~\!\parallel_{0}$

Bounding $\|A^{-1}\|$ in terms of $\det A$ where $A$ is an integer matrix

norm equivalence : $\mathbb S^2(0,T)=\mathbb H^2(0,T)$?

Calculate the norm $A(f)$ in $C_{\mathbb{R}}[0,1] \rightarrow \mathbb{R} $

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