Question

Bounded linear function with no predual

score 39 · Answer 1 · 2021-12-11 19:21:10

39

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Bounded linear function with no predual

Published on 11 Dec 2021 - 19:21

score 48 · Answer 2 · 2021-12-12 19:36:42

48

Views

Isometry of $(V\times W)^$ with $V^\times W^*$

Published on 12 Dec 2021 - 19:36

score 112 · Answer 3 · 2021-12-14 12:47:29

112

Views

Identification of $\ell_1^n$ $(\ell_\infty^n)$ with $\ell_\infty^{n^}$ $(\ell_1^{n^})$.

Published on 14 Dec 2021 - 12:47

score 84 · Answer 4 · 2021-12-15 03:00:00

84

Views

$C(K)^*$ is not separable

Published on 15 Dec 2021 - 3:00

score 32 · Answer 5 · 2021-12-17 09:45:49

32

Views

Why is $i_y \circ T = T^{**} \circ i_x$ for a bounded operator in a normed space?

Published on 17 Dec 2021 - 9:45

score 27 · Answer 6 · 2021-12-19 08:47:12

27

Views

$\nexists y \in l^1$ such that $\forall x \in S: L(x) = \sum\limits_{n\ge 1}(x y)\lbrack n \rbrack$

Published on 19 Dec 2021 - 8:47

score 66 · Answer 7 · 2021-12-19 20:28:31

66

Views

Show that $\exists L \in (l^\infty)'$ such that $\forall f \in C([0,1]): \int\limits_{0}^{1}f(t)dt = L(T(f))$.

Published on 19 Dec 2021 - 20:28

score 81 · Answer 8 · 2021-12-20 10:16:33

81

Views

$T$ is continuous $\iff \forall (x_1, x_2,..), x_i \in X, x_i \to^w x \implies T(x_i) \to^w T(x)$

Published on 20 Dec 2021 - 10:16

score 132 · Answer 9 · 2021-12-20 14:23:34

132

Views

Continuous bilinear maps on sections of vector bundles

Published on 20 Dec 2021 - 14:23

score 77 · Answer 10 · 2026-03-27 08:42:05

77

Views

Are open balls in the topological dual space $A^$ weak- open?

Published on 27 Mar 2026 - 8:42

score 155 · Answer 11 · 2021-12-23 18:34:40

155

Views

Suppose $\forall x \in X,\sum_{n=1}^\infty|f_n(x)|<\infty$, to prove $\forall F\in X'', \sum_{n=1}^\infty |F(f_n)|\leq C\|F\|$.

Published on 23 Dec 2021 - 18:34

score 86 · Answer 12 · 2021-12-24 22:44:22

86

Views

What is the dual of "vectorial Radon measures such that its divergence is a Radon measure"?

Published on 24 Dec 2021 - 22:44

score 190 · Answer 13 · 2021-12-26 16:27:42

190

Views

Given a vector space $V$, why is the dual space $V^*$ interesting?

Published on 26 Dec 2021 - 16:27

score 125 · Answer 14 · 2022-01-02 10:02:32

125

Views

Takesaki theorem 1.8: Is functional well-defined?

Published on 02 Jan 2022 - 10:02

score 85 · Answer 15 · 2022-01-06 00:37:13

Could we extend the functional $\xi \in C_0^\infty \left( \Omega \right) \to \xi \left( 0 \right) \in \mathbb R$ to a cont functional in Sobolev sp

List Question

Bounded linear function with no predual

Isometry of $(V\times W)^$ with $V^\times W^*$

Identification of $\ell_1^n$ $(\ell_\infty^n)$ with $\ell_\infty^{n^}$ $(\ell_1^{n^})$.

$C(K)^*$ is not separable

Why is $i_y \circ T = T^{**} \circ i_x$ for a bounded operator in a normed space?

$\nexists y \in l^1$ such that $\forall x \in S: L(x) = \sum\limits_{n\ge 1}(x y)\lbrack n \rbrack$

Show that $\exists L \in (l^\infty)'$ such that $\forall f \in C([0,1]): \int\limits_{0}^{1}f(t)dt = L(T(f))$.

$T$ is continuous $\iff \forall (x_1, x_2,..), x_i \in X, x_i \to^w x \implies T(x_i) \to^w T(x)$

Continuous bilinear maps on sections of vector bundles

Are open balls in the topological dual space $A^$ weak- open?

Suppose $\forall x \in X,\sum_{n=1}^\infty|f_n(x)|<\infty$, to prove $\forall F\in X'', \sum_{n=1}^\infty |F(f_n)|\leq C\|F\|$.

What is the dual of "vectorial Radon measures such that its divergence is a Radon measure"?

Given a vector space $V$, why is the dual space $V^*$ interesting?

Takesaki theorem 1.8: Is functional well-defined?

Could we extend the functional $\xi \in C_0^\infty \left( \Omega \right) \to \xi \left( 0 \right) \in \mathbb R$ to a cont functional in Sobolev sp

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