List questions from dual-spaces

Published on 22 Mar 2026 - 8:55

230

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Does every map in dual have a predual in infinite-dimensional spaces?

Published on 10 Aug 2018 - 9:14

62

Views

Alternative characterizations of the strong topology in a normed linear space

Published on 11 Aug 2018 - 15:31

65

Views

Is $E^{\prime\prime}$ weak*-separable for separable Banach spaces?

Published on 16 Aug 2018 - 6:32

75

Views

Properties of $\{x\in X\mid f(x)=||f||\}$

Published on 16 Aug 2018 - 18:45

3.4k

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Find the dual space and dual basis of basis $\beta$ in vector space $\mathbb{C^3}$

Published on 17 Aug 2018 - 18:45

144

Views

Joint continuity of bilinear pairing (with unusual topology)

Published on 22 Mar 2026 - 23:03

214

Views

Use Hahn-Banach to prove existence of dual elements

Published on 24 Aug 2018 - 18:35

86

Views

Boundedness of a subset using boundedness of linear functionals

Published on 24 Aug 2018 - 20:48

540

Views

Checking my Understanding of and Motivation behind Tensors

Published on 24 Aug 2018 - 22:30

48

Views

In construction of an inner product that maps from a vector space to a dual, what makes the map considered to be natural?

Published on 19 Mar 2026 - 22:43

502

Views

Dual space of $R^n$ with $\max$ norm

Published on 28 Aug 2018 - 13:37

109

Views

Show false: If $V$ is a vector space of finite dimension over $F$ and $V=A \oplus B$, then $V^* = A^* \oplus B^*$.

Published on 02 Sep 2018 - 18:51

61

Views

How is a basis induced on a vector space?

Published on 03 Sep 2018 - 23:50

68

Views

Let V be a vector space on a field $K$ and be $T: V → K$ a non-zero linear application.

Published on 05 Sep 2018 - 2:40

List Question

Annihilator in dual space

Does every map in dual have a predual in infinite-dimensional spaces?

Alternative characterizations of the strong topology in a normed linear space

Is $E^{\prime\prime}$ weak*-separable for separable Banach spaces?

Properties of $\{x\in X\mid f(x)=||f||\}$

Find the dual space and dual basis of basis $\beta$ in vector space $\mathbb{C^3}$

Joint continuity of bilinear pairing (with unusual topology)

Use Hahn-Banach to prove existence of dual elements

Boundedness of a subset using boundedness of linear functionals

Checking my Understanding of and Motivation behind Tensors

In construction of an inner product that maps from a vector space to a dual, what makes the map considered to be natural?

Dual space of $R^n$ with $\max$ norm

Show false: If $V$ is a vector space of finite dimension over $F$ and $V=A \oplus B$, then $V^* = A^* \oplus B^*$.

How is a basis induced on a vector space?

Let V be a vector space on a field $K$ and be $T: V → K$ a non-zero linear application.

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