Question

If $w:\mathbb{D}\rightarrow\mathbb{D}$ is a Möbius transform and $||f||_{\infty} \leq 1$, why is $||w(f(z))||_{\infty} \leq 1$?

score 40 · Answer 1 · 2026-03-25 10:56:52

40

Views

If $w:\mathbb{D}\rightarrow\mathbb{D}$ is a Möbius transform and $||f||_{\infty} \leq 1$, why is $||w(f(z))||_{\infty} \leq 1$?

Published on 25 Mar 2026 - 10:56

score 198 · Answer 2 · 2019-03-02 09:45:49

198

Views

Minimizing and maximizing matrix product norm

Published on 02 Mar 2019 - 9:45

score 148 · Answer 3 · 2026-03-26 12:51:23

148

Views

Is this normed vector space complete?

Published on 26 Mar 2026 - 12:51

score 1.5k · Answer 4 · 2026-03-22 19:43:30

1.5k

Views

Trace of an algebraic integer is an integer?

Published on 22 Mar 2026 - 19:43

score 313 · Answer 5 · 2019-03-02 16:36:12

313

Views

Norm and Multiplication

Published on 02 Mar 2019 - 16:36

score 145 · Answer 6 · 2019-03-02 22:29:39

145

Views

$ X=C^1([0,1],\mathbb{R})$ and $||f||=\max\{||f||_{\infty}, ||f'||_{\infty}\}$ form a Banach space

Published on 02 Mar 2019 - 22:29

score 79 · Answer 7 · 2019-03-02 23:17:34

79

Views

Prove the max of convergent sequences of functions is convergent in $L^p$ space.

Published on 02 Mar 2019 - 23:17

score 316 · Answer 8 · 2019-03-02 23:28:30

316

Views

$||f|| = \int_0^1 |f(x)| dx$ and $||.||_{\infty}$ are not equivalent norms

Published on 02 Mar 2019 - 23:28

score 2.9k · Answer 9 · 2019-03-03 15:40:53

2.9k

Views

Sum of two norms is a norm

Published on 03 Mar 2019 - 15:40

score 449 · Answer 10 · 2026-03-31 06:01:04

449

Views

Show $f(x) = 1/x$ is in $L^2\left([1, +\infty)\right)$ but not in $L^1\left([1, +\infty)\right)$.

Published on 31 Mar 2026 - 6:01

score 392 · Answer 11 · 2026-03-25 08:09:27

392

Views

Question about the range of a norm preserving extension.

Published on 25 Mar 2026 - 8:09

score 120 · Answer 12 · 2019-03-04 18:36:08

120

Views

Compute the operator-norm $L \in B(V,V)$

Published on 04 Mar 2019 - 18:36

score 71 · Answer 13 · 2026-03-28 14:36:55

71

Views

Induction relation of a linear operator

Published on 28 Mar 2026 - 14:36

score 31 · Answer 14 · 2019-03-05 11:28:59

31

Views

Find the norm of an operator

Published on 05 Mar 2019 - 11:28

score 118 · Answer 15 · 2026-03-29 16:29:30

118

Views

Can I equip the space $H^{1/2}(\partial \Omega)$ with a $L^2( \partial \Omega)$ inner product?

Published on 29 Mar 2026 - 16:29

List Question

If $w:\mathbb{D}\rightarrow\mathbb{D}$ is a Möbius transform and $||f||_{\infty} \leq 1$, why is $||w(f(z))||_{\infty} \leq 1$?

Minimizing and maximizing matrix product norm

Is this normed vector space complete?

Trace of an algebraic integer is an integer?

Norm and Multiplication

$ X=C^1([0,1],\mathbb{R})$ and $||f||=\max\{||f||_{\infty}, ||f'||_{\infty}\}$ form a Banach space

Prove the max of convergent sequences of functions is convergent in $L^p$ space.

$||f|| = \int_0^1 |f(x)| dx$ and $||.||_{\infty}$ are not equivalent norms

Sum of two norms is a norm

Show $f(x) = 1/x$ is in $L^2\left([1, +\infty)\right)$ but not in $L^1\left([1, +\infty)\right)$.

Question about the range of a norm preserving extension.

Compute the operator-norm $L \in B(V,V)$

Induction relation of a linear operator

Find the norm of an operator

Can I equip the space $H^{1/2}(\partial \Omega)$ with a $L^2( \partial \Omega)$ inner product?

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