Question

Is the topological space $ (X^{},\sigma (X ^ {}, X)) $ metrizable?

score 84 · Answer 1 · 2026-03-26 04:52:00

84

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Is the topological space $ (X^{},\sigma (X ^ {}, X)) $ metrizable?

Published on 26 Mar 2026 - 4:52

score 48 · Answer 2 · 2020-04-24 10:33:31

48

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Prove that linear bounded functional on subspace of C[a,b] that does not attain its norm

Published on 24 Apr 2020 - 10:33

score 175 · Answer 3 · 2020-04-29 07:31:37

175

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Find the dual operator $T^*$ where $T: L_p(\mathbb{R}) \to L_p(\mathbb{R})$ and $Tf(t) = f(t+c)$

Published on 29 Apr 2020 - 7:31

score 374 · Answer 4 · 2026-03-24 12:15:10

374

Views

Proving $\operatorname{coker}(f^) \cong (\ker f)^$ for a linear map $f$

Published on 24 Mar 2026 - 12:15

score 100 · Answer 5 · 2026-03-25 19:25:02

100

Views

Dual Spaces Isomorphism

Published on 25 Mar 2026 - 19:25

score 636 · Answer 6 · 2026-03-25 09:49:30

636

Views

If $x$ and $y$ are linearly independent, there is a separating linear functional

Published on 25 Mar 2026 - 9:49

score 146 · Answer 7 · 2020-05-02 06:15:23

146

Views

If $f_1,\dots,f_k\in V^*$ are linearly independent, then there are $v_1,\dots,v_k\in V$ such that $f_i(v_j)=\delta_{ij}$?

Published on 02 May 2020 - 6:15

score 39 · Answer 8 · 2020-05-02 13:45:53

39

Views

Is this a sufficient definition for a linear functional on a subspace $Z$ of normed space $X$?

Published on 02 May 2020 - 13:45

score 154 · Answer 9 · 2020-05-02 18:42:53

154

Views

Isomorphism between tensor product $V^*\bigotimes_\mathbb{K} W$ and linear maps $\text{Hom}_\mathbb{K}(V,W)$

Published on 02 May 2020 - 18:42

score 53 · Answer 10 · 2020-05-04 09:20:25

53

Views

Exercise about dual spaces

Published on 04 May 2020 - 9:20

score 50 · Answer 11 · 2020-05-04 16:14:36

50

Views

Prove that the family $\{l_x :\, x \in X\}$ is a basis for $V^*$.

Published on 04 May 2020 - 16:14

score 98 · Answer 12 · 2020-05-05 22:21:33

98

Views

If $X$ is separable then there exists $D$ a countable symmetric subset of the unit ball $B^$ in $X^$ dense with respect to the Mackey topology

Published on 05 May 2020 - 22:21

score 58 · Answer 13 · 2020-05-10 17:40:40

58

Views

How to find coordinates of contraction of the tensor $T(\phi,\psi,u):=\phi (a)\psi (u)+\psi (a)\phi(u)$

Published on 10 May 2020 - 17:40

score 46 · Answer 14 · 2020-05-12 09:34:19

46

Views

Linearity of an adjoint map

Published on 12 May 2020 - 9:34

score 20 · Answer 15 · 2020-05-12 12:12:43

20

Views

Construct a vectors and dual vectors with given property

Published on 12 May 2020 - 12:12

List Question

Is the topological space $ (X^{},\sigma (X ^ {}, X)) $ metrizable?

Prove that linear bounded functional on subspace of C[a,b] that does not attain its norm

Find the dual operator $T^*$ where $T: L_p(\mathbb{R}) \to L_p(\mathbb{R})$ and $Tf(t) = f(t+c)$

Proving $\operatorname{coker}(f^) \cong (\ker f)^$ for a linear map $f$

Dual Spaces Isomorphism

If $x$ and $y$ are linearly independent, there is a separating linear functional

If $f_1,\dots,f_k\in V^*$ are linearly independent, then there are $v_1,\dots,v_k\in V$ such that $f_i(v_j)=\delta_{ij}$?

Is this a sufficient definition for a linear functional on a subspace $Z$ of normed space $X$?

Isomorphism between tensor product $V^*\bigotimes_\mathbb{K} W$ and linear maps $\text{Hom}_\mathbb{K}(V,W)$

Exercise about dual spaces

Prove that the family $\{l_x :\, x \in X\}$ is a basis for $V^*$.

If $X$ is separable then there exists $D$ a countable symmetric subset of the unit ball $B^$ in $X^$ dense with respect to the Mackey topology

How to find coordinates of contraction of the tensor $T(\phi,\psi,u):=\phi (a)\psi (u)+\psi (a)\phi(u)$

Linearity of an adjoint map

Construct a vectors and dual vectors with given property

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