List questions from dual-spaces

Published on 23 Feb 2017 - 16:07

433

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If vector spaces $V$ and $W$ are isomorphic, are their dual spaces isomorphic?

Published on 25 Feb 2017 - 7:01

4k

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The dual of $L^p$ is $L^q$

Published on 06 Apr 2017 - 10:33

34

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Defining the Borel $\sigma$-algebra of the weak topology of a pairing without talking about topology

Published on 25 Mar 2026 - 23:42

89

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Exercise 11, Section 6.6 of Hoffman’s Linear Algebra

Published on 03 Feb 2023 - 20:35

67

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Why does the kernel and a one dimensional subspace span the Hilbert space when proving the Riesz lemma?

Published on 25 Mar 2026 - 23:44

70

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Let X be an infinite dimensional Banach space. Let $\{e_1, e_2, ...\}$ be a linearly independent set of vectors whose linear span is dense in X.

Published on 07 Feb 2023 - 18:25

132

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What does it mean exactly that every finite dimensional vector space is isomorphic to its dual space?

Published on 16 Feb 2023 - 22:47

58

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Finding the dual of linear map

Published on 26 Feb 2023 - 15:58

235

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Double dual module

Published on 28 Feb 2023 - 23:51

91

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Question about projections acting on dual space

Published on 02 Mar 2023 - 14:05

31

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Finite collection of linear functionals can be separated

Published on 03 Mar 2023 - 7:42

79

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Intersection of orthogonal complements of sub-spaces $U,W\subseteq V$

Published on 03 Mar 2023 - 14:06

42

Views

Double dual of a linear map

Published on 07 Mar 2023 - 3:58

170

Views

Characterization of $\ell_1$ as a subspace of $\ell_\infty^*$

Published on 10 Mar 2023 - 14:03

List Question

Prove the dual space of $l^p$ is isomorphic to $l^q$ if $\frac{1}{q}+\frac{1}{p}=1$

If vector spaces $V$ and $W$ are isomorphic, are their dual spaces isomorphic?

The dual of $L^p$ is $L^q$

Defining the Borel $\sigma$-algebra of the weak topology of a pairing without talking about topology

Exercise 11, Section 6.6 of Hoffman’s Linear Algebra

Why does the kernel and a one dimensional subspace span the Hilbert space when proving the Riesz lemma?

Let X be an infinite dimensional Banach space. Let $\{e_1, e_2, ...\}$ be a linearly independent set of vectors whose linear span is dense in X.

What does it mean exactly that every finite dimensional vector space is isomorphic to its dual space?

Finding the dual of linear map

Double dual module

Question about projections acting on dual space

Finite collection of linear functionals can be separated

Intersection of orthogonal complements of sub-spaces $U,W\subseteq V$

Double dual of a linear map

Characterization of $\ell_1$ as a subspace of $\ell_\infty^*$

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