List questions from hahn-banach-theorem

Published on 25 Mar 2026 - 17:43

83

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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 25 Mar 2026 - 17:41

292

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

Published on 25 Mar 2026 - 17:36

391

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Trying to understand an application of Hahn Banach extension theorem

Published on 25 Mar 2026 - 17:40

551

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

Published on 25 Mar 2026 - 17:38

131

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

Published on 25 Mar 2026 - 17:40

206

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Open set is unbounded

Published on 25 Mar 2026 - 23:35

216

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Norm of a linear operator and Hahn-Banach Theorem

Published on 25 Mar 2026 - 20:42

106

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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 25 Mar 2026 - 17:36

445

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

Published on 25 Mar 2026 - 17:37

521

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

Published on 25 Mar 2026 - 19:03

170

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On some Hahn-Banach equivalents

Published on 25 Mar 2026 - 17:43

50

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

Published on 25 Mar 2026 - 17:40

320

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

Published on 25 Mar 2026 - 19:10

249

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Weak version of the Hahn-Banach separation theorem

Published on 25 Mar 2026 - 17:45

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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