List questions from duality-theorems

Published on 09 Oct 2016 - 7:16

72

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Proving that if $\tau_{w}$ has a countable base at $0$ then $X$ is finite.

Published on 14 Oct 2016 - 18:38

1k

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How can it be true that the dual of Lp is Lq...?

Published on 19 Oct 2016 - 15:36

738

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Definition of Euclidean norm on dual space

Published on 20 Oct 2016 - 10:50

46

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Dual problem for a problem with strange constraints

Published on 25 Mar 2026 - 13:53

111

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Line $L_t\subset\mathbb{P^2}$ contains $(t, 0)$ and $(0, t + m)$. Show collection of $L_t$ form points of a conic $K^\subset\mathbb{P}^{2}$ .

Published on 22 Oct 2016 - 21:03

4k

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Derive the dual of the semidefinite program $\max_Y{\rm Tr}(X^T Y)$ subject to $\begin{pmatrix}I&Y\\ Y^T&I\end{pmatrix}\succeq0$

Published on 25 Mar 2026 - 12:49

220

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A norm generated by the quadratic form of T implies T is an isomorphism.

Published on 25 Mar 2026 - 23:52

92

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"richness" of dual spaces

Published on 26 Oct 2016 - 9:53

93

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Why is $(f_n)_{n \ge 1 }$ in $X^*$ a bounded sequence?

Published on 26 Oct 2016 - 13:05

38

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The set of $C$-ideals is a frame freely generated by a site $(A, C)$

Published on 26 Oct 2016 - 21:29

283

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Finding the norm of a dual space (and then applying it to an element function)

Published on 30 Oct 2016 - 15:04

1k

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Dual spaces of Banach spaces of vector valued functions (Reed Simon Vol 1 Chapter 3 Problem 31)

Published on 03 Nov 2016 - 0:13

1.2k

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Trying to understand dual space / dual vectors / 1-forms

Published on 05 Nov 2016 - 15:45

72

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Dual vector families in normed vector spaces

Published on 05 Nov 2016 - 16:35

List Question

How to prove the equivalence of these two optimization function?

Proving that if $\tau_{w}$ has a countable base at $0$ then $X$ is finite.

How can it be true that the dual of Lp is Lq...?

Definition of Euclidean norm on dual space

Dual problem for a problem with strange constraints

Line $L_t\subset\mathbb{P^2}$ contains $(t, 0)$ and $(0, t + m)$. Show collection of $L_t$ form points of a conic $K^\subset\mathbb{P}^{2}$ .

Derive the dual of the semidefinite program $\max_Y{\rm Tr}(X^T Y)$ subject to $\begin{pmatrix}I&Y\\ Y^T&I\end{pmatrix}\succeq0$

A norm generated by the quadratic form of T implies T is an isomorphism.

"richness" of dual spaces

Why is $(f_n)_{n \ge 1 }$ in $X^*$ a bounded sequence?

The set of $C$-ideals is a frame freely generated by a site $(A, C)$

Finding the norm of a dual space (and then applying it to an element function)

Dual spaces of Banach spaces of vector valued functions (Reed Simon Vol 1 Chapter 3 Problem 31)

Trying to understand dual space / dual vectors / 1-forms

Dual vector families in normed vector spaces

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