Question

Why is the 1-norm of A=max_{1-norm of x = 1} of the 1-norm of Ax?

score 150 · Answer 1 · 2026-04-14 13:06:13

150

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Why is the 1-norm of A=max_{1-norm of x = 1} of the 1-norm of Ax?

Published on 14 Apr 2026 - 13:06

score 25 · Answer 2 · 2026-04-10 18:32:29

25

Views

linear transformation & normed space

Published on 10 Apr 2026 - 18:32

score 49 · Answer 3 · 2026-04-13 12:02:40

49

Views

Functional analysis : show that a certain x doesn't exist

Published on 13 Apr 2026 - 12:02

score 103 · Answer 4 · 2026-04-15 04:39:38

103

Views

T(f)=$\int_0^12xf(x)dx$. Then prove that $\|T\| =1$.

Published on 15 Apr 2026 - 4:39

score 115 · Answer 5 · 2026-04-23 16:32:57

115

Views

Show that the distance from the point $(1,1,1,1)$ to $W$ is $\sqrt 2$.

Published on 23 Apr 2026 - 16:32

score 235 · Answer 6 · 2026-04-11 04:51:28

235

Views

Name for Theorem: Extension of Uniformly Continuous Function on Dense Subset?

Published on 11 Apr 2026 - 4:51

score 31 · Answer 7 · 2026-04-11 17:49:24

31

Views

Recover a function from the differential map

Published on 11 Apr 2026 - 17:49

score 126 · Answer 8 · 2026-04-11 00:25:36

126

Views

Is R complete to every distance?

Published on 11 Apr 2026 - 0:25

score 432 · Answer 9 · 2026-04-10 09:10:45

432

Views

Equivalence of continuity and boundedness for linear functional

Published on 10 Apr 2026 - 9:10

score 185 · Answer 10 · 2026-04-16 15:28:15

185

Views

Why is this "proof" of the Uniform Boundedness Principle via the contrapositive erroneous?

Published on 16 Apr 2026 - 15:28

score 89 · Answer 11 · 2026-04-12 10:35:17

89

Views

What is the Hahn Banach extension of this map?

Published on 12 Apr 2026 - 10:35

score 621 · Answer 12 · 2026-04-15 22:43:38

621

Views

Prove vector space of polynomials of degree $\leq l$ is complete with norm $||p|| = \int_{-\infty}^{\infty}|p(x)|e^{-|x|}dx$

Published on 15 Apr 2026 - 22:43

score 77 · Answer 13 · 2026-04-12 17:38:18

77

Views

Approximation in $C^1$ by smooth function while preserving the zero set

Published on 12 Apr 2026 - 17:38

score 4.2k · Answer 14 · 2026-04-12 14:47:19

4.2k

Views

How can I prove that every inner product space is strictly convex normed space?

Published on 12 Apr 2026 - 14:47

score 424 · Answer 15 · 2026-04-13 13:00:02

424

Views

Existence of solution with the smallest norm in hilbert space

Published on 13 Apr 2026 - 13:00

List Question

Why is the 1-norm of A=max_{1-norm of x = 1} of the 1-norm of Ax?

linear transformation & normed space

Functional analysis : show that a certain x doesn't exist

T(f)=$\int_0^12xf(x)dx$. Then prove that $\|T\| =1$.

Show that the distance from the point $(1,1,1,1)$ to $W$ is $\sqrt 2$.

Name for Theorem: Extension of Uniformly Continuous Function on Dense Subset?

Recover a function from the differential map

Is R complete to every distance?

Equivalence of continuity and boundedness for linear functional

Why is this "proof" of the Uniform Boundedness Principle via the contrapositive erroneous?

What is the Hahn Banach extension of this map?

Prove vector space of polynomials of degree $\leq l$ is complete with norm $||p|| = \int_{-\infty}^{\infty}|p(x)|e^{-|x|}dx$

Approximation in $C^1$ by smooth function while preserving the zero set

How can I prove that every inner product space is strictly convex normed space?

Existence of solution with the smallest norm in hilbert space

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