List questions from dual-spaces

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The dual basis spans the vector space of linear transformations.

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About weak convergence in $L^{\infty}$

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Dual of a subspace

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Finding $B^*$, the dual basis

Published on 02 Jan 2019 - 18:42

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The relationship between vector space dualization and matrix transposition.

Published on 03 Jan 2019 - 0:51

285

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Which vector spaces are algebraic dual spaces?

Published on 03 Jan 2019 - 8:41

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Dual space of $L^p(\Omega,\mathcal{A},\mu,\mathbb{R}^d)$.

Published on 06 Jan 2019 - 11:56

95

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Given a linear operator $T$ and a linear functional $\phi_n(x)=(T(x))(n)$, show that $T$ is continuous iff $\phi \in X^*$

Published on 06 Jan 2019 - 18:25

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Dual map and solving linear equation

Published on 22 Mar 2026 - 5:11

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Duality: dual maps and linear maps

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When are the topological duals $A^$ and $B^$ isomorphic?

Published on 12 Jan 2019 - 20:38

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Proof that the following map $\Phi:\ell^1\to(\ell^\infty)'$ is not surjective

Published on 25 Mar 2026 - 11:20

112

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surjectivity of dual operator congruence implies reflexivity

Published on 23 Feb 2026 - 1:04

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$B$ Banach $\implies B^*$ Banach.

Published on 14 Jan 2019 - 22:07

List Question

On linear, continuous, injective map $T:V \to W$ with closed/ dense image

The dual basis spans the vector space of linear transformations.

About weak convergence in $L^{\infty}$

Dual of a subspace

Finding $B^*$, the dual basis

The relationship between vector space dualization and matrix transposition.

Which vector spaces are algebraic dual spaces?

Dual space of $L^p(\Omega,\mathcal{A},\mu,\mathbb{R}^d)$.

Given a linear operator $T$ and a linear functional $\phi_n(x)=(T(x))(n)$, show that $T$ is continuous iff $\phi \in X^*$

Dual map and solving linear equation

Duality: dual maps and linear maps

When are the topological duals $A^$ and $B^$ isomorphic?

Proof that the following map $\Phi:\ell^1\to(\ell^\infty)'$ is not surjective

surjectivity of dual operator congruence implies reflexivity

$B$ Banach $\implies B^*$ Banach.

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