Question

Finding the norm of $(x_n) \mapsto \sum x_{n}2^{-n}$ in $(\ell^\infty)^*$

score 118 · Answer 1 · 2020-11-21 13:15:58

118

Views

Finding the norm of $(x_n) \mapsto \sum x_{n}2^{-n}$ in $(\ell^\infty)^*$

Published on 21 Nov 2020 - 13:15

score 181 · Answer 2 · 2020-11-22 10:08:42

181

Views

$L^\infty([0,1])$ is dual space of space of Radon measure

Published on 22 Nov 2020 - 10:08

score 100 · Answer 3 · 2020-11-23 00:13:32

100

Views

Why is $\phi$ an isometry?

Published on 23 Nov 2020 - 0:13

score 58 · Answer 4 · 2020-11-23 14:07:35

58

Views

If $\text{dim}(X)< \infty$ and $\text{dim}(E)=\infty$, then $\text{dim}(E')=\infty$ and $E' \subset X'$?

Published on 23 Nov 2020 - 14:07

score 185 · Answer 5 · 2026-03-27 17:52:25

185

Views

Relation between weak topology on space of signed measures on a metric space $E$ and the weak* topology on $C_b(E)'$

Published on 27 Mar 2026 - 17:52

score 60 · Answer 6 · 2026-02-24 05:25:34

60

Views

Duality of $\mathcal M(X)$ with $C_0(X)$ and with $C_b(X)$

Published on 24 Feb 2026 - 5:25

score 158 · Answer 7 · 2020-11-29 03:42:50

158

Views

On expressing a subspace as intersection of kernels of linearly independent functionals

Published on 29 Nov 2020 - 3:42

score 638 · Answer 8 · 2026-02-23 06:34:11

638

Views

the difference between chains and cochains

Published on 23 Feb 2026 - 6:34

score 183 · Answer 9 · 2020-11-30 22:50:28

183

Views

Viewing tensors as multilinear maps, what is the difference between a vector and a covector?

Published on 30 Nov 2020 - 22:50

score 72 · Answer 10 · 2020-12-01 20:23:49

72

Views

$ \lim\limits_{n \to \infty} \| x_{n}\| = \| x \|$ if $\left(x_{n}\right)$ weakly convergent

Published on 01 Dec 2020 - 20:23

score 103 · Answer 11 · 2026-03-26 19:14:18

103

Views

Counter Example About $L^{\infty}$ function

Published on 26 Mar 2026 - 19:14

score 54 · Answer 12 · 2020-12-04 03:00:02

54

Views

fixing dual basis to find basis of vector space

Published on 04 Dec 2020 - 3:00

score 56 · Answer 13 · 2026-02-23 13:03:29

56

Views

Can sum of two (1,1) tensors be written as a (2, 1) tensor?

Published on 23 Feb 2026 - 13:03

score 51 · Answer 14 · 2020-12-05 17:06:23

51

Views

$\forall \phi\in C_o^{\infty}(\Omega)$, $\lvert\tilde{f}(\phi)\rvert\le \lVert \phi\rVert_{L^{p'}}\implies f\in L^p$

Published on 05 Dec 2020 - 17:06

score 76 · Answer 15 · 2020-12-06 11:52:41

76

Views

If $\langle f,\varphi\rangle$ is integrable for every functional $φ$, is there an $x$ with $\langle x,\varphi\rangle=\int\langle f,φ\rangle$?

Published on 06 Dec 2020 - 11:52

List Question

Finding the norm of $(x_n) \mapsto \sum x_{n}2^{-n}$ in $(\ell^\infty)^*$

$L^\infty([0,1])$ is dual space of space of Radon measure

Why is $\phi$ an isometry?

If $\text{dim}(X)< \infty$ and $\text{dim}(E)=\infty$, then $\text{dim}(E')=\infty$ and $E' \subset X'$?

Relation between weak topology on space of signed measures on a metric space $E$ and the weak* topology on $C_b(E)'$

Duality of $\mathcal M(X)$ with $C_0(X)$ and with $C_b(X)$

On expressing a subspace as intersection of kernels of linearly independent functionals

the difference between chains and cochains

Viewing tensors as multilinear maps, what is the difference between a vector and a covector?

$ \lim\limits_{n \to \infty} \| x_{n}\| = \| x \|$ if $\left(x_{n}\right)$ weakly convergent

Counter Example About $L^{\infty}$ function

fixing dual basis to find basis of vector space

Can sum of two (1,1) tensors be written as a (2, 1) tensor?

$\forall \phi\in C_o^{\infty}(\Omega)$, $\lvert\tilde{f}(\phi)\rvert\le \lVert \phi\rVert_{L^{p'}}\implies f\in L^p$

If $\langle f,\varphi\rangle$ is integrable for every functional $φ$, is there an $x$ with $\langle x,\varphi\rangle=\int\langle f,φ\rangle$?

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