Question

Quick tip: Why is $\vert \vert x \vert \vert_{\infty}^{q-p} \vert \vert x \vert \vert _{p}^{p}\leq \vert \vert x \vert \vert _{q}^{q}$

score 90 · Answer 1 · 2026-03-31 17:50:09

90

Views

Quick tip: Why is $\vert \vert x \vert \vert_{\infty}^{q-p} \vert \vert x \vert \vert _{p}^{p}\leq \vert \vert x \vert \vert _{q}^{q}$

Published on 31 Mar 2026 - 17:50

score 135 · Answer 2 · 2026-03-26 06:20:38

135

Views

Operator norm of translated operator

Published on 26 Mar 2026 - 6:20

score 73 · Answer 3 · 2026-03-30 13:21:37

73

Views

Equivalence of magnetic Sobolev norms and usual Sobolev norms

Published on 30 Mar 2026 - 13:21

score 60 · Answer 4 · 2026-03-29 16:54:26

60

Views

On Frechet differentiability

Published on 29 Mar 2026 - 16:54

score 26 · Answer 5 · 2019-07-25 10:36:18

26

Views

Deduce Bounded in Probability From Matrix Normalization

Published on 25 Jul 2019 - 10:36

score 50 · Answer 6 · 2026-03-25 12:46:28

50

Views

$\ell \in (\ell^{\infty})^{*}$ can be uniquely represent by the two functionals

Published on 25 Mar 2026 - 12:46

score 69 · Answer 7 · 2026-03-26 17:10:42

69

Views

Adjoint of the moment operator $f_{n}^{$}$

Published on 26 Mar 2026 - 17:10

score 45 · Answer 8 · 2019-07-27 17:28:22

45

Views

Showing $B_{r}(0)=rB_{1}(0)$, scaling the open ball

Published on 27 Jul 2019 - 17:28

score 314 · Answer 9 · 2019-07-27 20:32:19

314

Views

Confusion about equivalence of continuity and boundedness of linear operators.

Published on 27 Jul 2019 - 20:32

score 86 · Answer 10 · 2019-07-29 07:23:29

Define a convex set in a linear space $X$. Show that the open ball $ B(0, δ) $ is a convex set in a linear space $ \Bbb R^n $ over $ \Bbb R $.

score 173 · Answer 11 · 2026-03-27 14:52:51

173

Views

If $f: \mathbb R^n \to \mathbb R^n$ satisfies $\|f(x - y)\| = \|f(x) - f(y)\|$, is $f$ additive?

Published on 27 Mar 2026 - 14:52

score 271 · Answer 12 · 2026-04-03 13:05:08

271

Views

Is a norm on an inner product space unique?

Published on 03 Apr 2026 - 13:05

score 98 · Answer 13 · 2026-03-31 17:49:25

98

Views

Estimate for Integral of $L^{2}$ Functions Using Convergent Sequence of $C^{\infty}_{0}$ Functions

Published on 31 Mar 2026 - 17:49

score 76 · Answer 14 · 2026-03-25 04:35:01

76

Views

An example for almost commuting matrices

Published on 25 Mar 2026 - 4:35

score 757 · Answer 15 · 2019-08-02 15:54:13

757

Views

Is the Minkowski distance actually the $p$-norm function?

Published on 02 Aug 2019 - 15:54

List Question

Quick tip: Why is $\vert \vert x \vert \vert_{\infty}^{q-p} \vert \vert x \vert \vert _{p}^{p}\leq \vert \vert x \vert \vert _{q}^{q}$

Operator norm of translated operator

Equivalence of magnetic Sobolev norms and usual Sobolev norms

On Frechet differentiability

Deduce Bounded in Probability From Matrix Normalization

$\ell \in (\ell^{\infty})^{*}$ can be uniquely represent by the two functionals

Adjoint of the moment operator $f_{n}^{$}$

Showing $B_{r}(0)=rB_{1}(0)$, scaling the open ball

Confusion about equivalence of continuity and boundedness of linear operators.

Define a convex set in a linear space $X$. Show that the open ball $ B(0, δ) $ is a convex set in a linear space $ \Bbb R^n $ over $ \Bbb R $.

If $f: \mathbb R^n \to \mathbb R^n$ satisfies $\|f(x - y)\| = \|f(x) - f(y)\|$, is $f$ additive?

Is a norm on an inner product space unique?

Estimate for Integral of $L^{2}$ Functions Using Convergent Sequence of $C^{\infty}_{0}$ Functions

An example for almost commuting matrices

Is the Minkowski distance actually the $p$-norm function?

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