Question

How can a vector dual space be used to model division?

score 33 · Answer 1 · 2023-05-27 23:13:31

33

Views

How can a vector dual space be used to model division?

Published on 27 May 2023 - 23:13

score 39 · Answer 2 · 2023-05-28 19:15:04

39

Views

Weak*-separability of the unit ball of $X’$ and density characters and cardinalities of $X$ and $X’$

Published on 28 May 2023 - 19:15

score 50 · Answer 3 · 2023-05-29 09:36:16

50

Views

Show that multiplicative functional are extremal points in a $C^*$-algebra.

Published on 29 May 2023 - 9:36

score 83 · Answer 4 · 2023-05-30 16:22:49

83

Views

Necessary and sufficient condition to write a quadratic form on a finite-dimensional real vector space as a product of two linear functionals

Published on 30 May 2023 - 16:22

score 58 · Answer 5 · 2023-05-31 19:27:58

58

Views

Dual norm of integral vector norm

Published on 31 May 2023 - 19:27

score 36 · Answer 6 · 2023-06-01 04:11:27

36

Views

How do I prove that a function is well defined? in my case, a continuous linear function.

Published on 01 Jun 2023 - 4:11

score 45 · Answer 7 · 2023-06-02 00:27:49

45

Views

Proving that a function $G: X\rightarrow \mathbb{R}^{n+1}$ is continuous.

Published on 02 Jun 2023 - 0:27

score 38 · Answer 8 · 2026-03-25 19:02:35

38

Views

Geometric Hahn-Banach theorem and linear operators

Published on 25 Mar 2026 - 19:02

score 55 · Answer 9 · 2026-03-26 06:34:58

55

Views

Are the weakly bounded subsets of the double dual bounded for the natural topology?

Published on 26 Mar 2026 - 6:34

score 42 · Answer 10 · 2023-06-02 16:01:20

42

Views

Is there any bounded linear map $T:X\to X$ such that $T$ is injective, $T^{\ast}$ is not surjective and $R(T^{\ast})$ is closed?

Published on 02 Jun 2023 - 16:01

score 64 · Answer 11 · 2023-06-05 20:03:48

64

Views

Proof: If T (T') is surjective then T' (T) is injective.

Published on 05 Jun 2023 - 20:03

score 67 · Answer 12 · 2023-06-06 01:13:08

67

Views

Proving that a map is weak* continuous

Published on 06 Jun 2023 - 1:13

score 83 · Answer 13 · 2023-06-06 11:41:43

83

Views

Relationship between the dual of a subspace and its annihilator

Published on 06 Jun 2023 - 11:41

score 73 · Answer 14 · 2026-03-26 16:06:07

73

Views

Dual space of Sobolev spaces induced by Elliptic equations

Published on 26 Mar 2026 - 16:06

score 62 · Answer 15 · 2023-06-09 20:40:00

62

Views

Prove that the bilinear function $(l,x)$ gives a natural identification of $X$ with $X’’$.

Published on 09 Jun 2023 - 20:40

List Question

How can a vector dual space be used to model division?

Weak*-separability of the unit ball of $X’$ and density characters and cardinalities of $X$ and $X’$

Show that multiplicative functional are extremal points in a $C^*$-algebra.

Necessary and sufficient condition to write a quadratic form on a finite-dimensional real vector space as a product of two linear functionals

Dual norm of integral vector norm

How do I prove that a function is well defined? in my case, a continuous linear function.

Proving that a function $G: X\rightarrow \mathbb{R}^{n+1}$ is continuous.

Geometric Hahn-Banach theorem and linear operators

Are the weakly bounded subsets of the double dual bounded for the natural topology?

Is there any bounded linear map $T:X\to X$ such that $T$ is injective, $T^{\ast}$ is not surjective and $R(T^{\ast})$ is closed?

Proof: If T (T') is surjective then T' (T) is injective.

Proving that a map is weak* continuous

Relationship between the dual of a subspace and its annihilator

Dual space of Sobolev spaces induced by Elliptic equations

Prove that the bilinear function $(l,x)$ gives a natural identification of $X$ with $X’’$.

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