List questions from dual-spaces

Published on 10 May 2026 - 14:47

232

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

Published on 12 Apr 2026 - 3:05

66

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Alternative characterizations of the strong topology in a normed linear space

Published on 10 May 2026 - 16:59

69

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

Published on 10 May 2026 - 14:04

78

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

Published on 12 Apr 2026 - 6:47

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 Apr 2026 - 5:36

146

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Joint continuity of bilinear pairing (with unusual topology)

Published on 10 May 2026 - 16:12

216

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Use Hahn-Banach to prove existence of dual elements

Published on 12 Apr 2026 - 21:22

89

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Boundedness of a subset using boundedness of linear functionals

Published on 11 Apr 2026 - 8:47

543

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Checking my Understanding of and Motivation behind Tensors

Published on 11 Apr 2026 - 10:06

55

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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 04 May 2026 - 16:03

505

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

Published on 16 Apr 2026 - 4:09

112

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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 14 Apr 2026 - 4:06

65

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How is a basis induced on a vector space?

Published on 11 May 2026 - 0:37

71

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

Published on 15 Apr 2026 - 4:52

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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