List questions from hahn-banach-theorem

Published on 19 Mar 2020 - 11:12

82

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Finding the norm of linear operator $A:X\to X$ as $Ax=f(x)y$ where $y\in X$ and $f\in X^*$

Published on 30 Mar 2020 - 23:37

291

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Functional with norm $1$ that is $0$ on closed subspace

Published on 31 Mar 2020 - 20:43

390

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Trying to understand an application of Hahn Banach extension theorem

Published on 01 Apr 2020 - 20:55

550

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Understanding the proof of a theorem using Hahn-Banach Theorem.

Published on 17 Apr 2020 - 14:32

130

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Construction of an explicit norm-preserving extension of a linear functional

Published on 19 Apr 2020 - 9:24

205

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Open set is unbounded

Published on 19 Apr 2020 - 12:43

215

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Norm of a linear operator and Hahn-Banach Theorem

Published on 27 Apr 2020 - 11:17

105

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Show that there exists a bounded linear functional $\Lambda$ on a Hilbert space $H$ such that $\Lambda(y_{0})=\|\Lambda\|_{H^{*}} \|y_{0}\|$

Published on 28 Apr 2020 - 18:42

444

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Constructing a nonzero bounded linear functional on $L^\infty[0,1]$ that vanishes on $C[0,1]$

Published on 01 May 2020 - 4:06

520

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Brezis's Functional Analysis Exercise 1.14 - Why is there no closed hyperplane separating $Y$ and $Z$?

Published on 10 May 2020 - 16:03

169

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On some Hahn-Banach equivalents

Published on 18 May 2020 - 1:22

49

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Continuation of an operator $S\in L(F,\ell^\infty)$

Published on 22 May 2020 - 18:40

319

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The Hahn-Banach theorem, and a (related?) result on extension of operators on dense subspaces

Published on 02 Jun 2020 - 2:58

248

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Weak version of the Hahn-Banach separation theorem

Published on 03 Jun 2020 - 19:24

List Question

Proof of Weak Hahn-Banach Theorem

Finding the norm of linear operator $A:X\to X$ as $Ax=f(x)y$ where $y\in X$ and $f\in X^*$

Functional with norm $1$ that is $0$ on closed subspace

Trying to understand an application of Hahn Banach extension theorem

Understanding the proof of a theorem using Hahn-Banach Theorem.

Construction of an explicit norm-preserving extension of a linear functional

Open set is unbounded

Norm of a linear operator and Hahn-Banach Theorem

Show that there exists a bounded linear functional $\Lambda$ on a Hilbert space $H$ such that $\Lambda(y_{0})=\|\Lambda\|_{H^{*}} \|y_{0}\|$

Constructing a nonzero bounded linear functional on $L^\infty[0,1]$ that vanishes on $C[0,1]$

Brezis's Functional Analysis Exercise 1.14 - Why is there no closed hyperplane separating $Y$ and $Z$?

On some Hahn-Banach equivalents

Continuation of an operator $S\in L(F,\ell^\infty)$

The Hahn-Banach theorem, and a (related?) result on extension of operators on dense subspaces

Weak version of the Hahn-Banach separation theorem

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