List questions from hahn-banach-theorem

Published on 12 Jan 2021 - 17:52

92

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Gram-Schmidt-like "orthogonalization" on a normed space

Published on 18 Jan 2021 - 14:59

1.2k

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Can we show that if $T'$ is injective (surjective), then $T$ is surjective (injective)?

Published on 28 Jan 2021 - 18:47

88

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Can a Banach limit be invariant to any rearrangment of the argument?

Published on 30 Jan 2021 - 15:01

99

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Problem of Hahn-Banach theorem

Published on 07 Feb 2021 - 16:24

78

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If $H_1 \stackrel d{\hookrightarrow} H_2$, $X \subset H_1$ and $Y \subset H_2$ then $X \stackrel d{\hookrightarrow} Y$?

Published on 10 Feb 2021 - 1:18

164

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Application of Hahn-Banach Theorem in $\Bbb{R}^2$

Published on 10 Feb 2021 - 19:42

665

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Prove existence of inverse of a bounded linear operator

Published on 11 Feb 2021 - 4:13

54

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Hahn-Banach Theorem applied to sphere

Published on 12 Feb 2021 - 0:36

93

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Hahn Banach theorem for distance

Published on 21 Feb 2021 - 19:28

277

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Show that convex hull of vector states is weak$^*$-dense

Published on 23 Feb 2021 - 13:50

278

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Solution to Problem 10 in Reed-Simon, Chapter 3, Volume I.

Published on 24 Feb 2021 - 16:32

252

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Confusion on the proof of Haim Brezis Proposition 1.9 (application of Hahn-Banach Geometric Form)

Published on 03 Mar 2021 - 13:54

93

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When does a functional from a vector's span to $\mathbb{R}$ have a unique norm-preserving extension to $\mathbb{R}^n$?

Published on 07 Mar 2021 - 21:25

150

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Hahn-Banach theorem seems to permit "unpermitted" operations

Published on 11 Mar 2021 - 15:30

List Question

Application of Hahn-Banach, extension of a sublinear functional?

Gram-Schmidt-like "orthogonalization" on a normed space

Can we show that if $T'$ is injective (surjective), then $T$ is surjective (injective)?

Can a Banach limit be invariant to any rearrangment of the argument?

Problem of Hahn-Banach theorem

If $H_1 \stackrel d{\hookrightarrow} H_2$, $X \subset H_1$ and $Y \subset H_2$ then $X \stackrel d{\hookrightarrow} Y$?

Application of Hahn-Banach Theorem in $\Bbb{R}^2$

Prove existence of inverse of a bounded linear operator

Hahn-Banach Theorem applied to sphere

Hahn Banach theorem for distance

Show that convex hull of vector states is weak$^*$-dense

Solution to Problem 10 in Reed-Simon, Chapter 3, Volume I.

Confusion on the proof of Haim Brezis Proposition 1.9 (application of Hahn-Banach Geometric Form)

When does a functional from a vector's span to $\mathbb{R}$ have a unique norm-preserving extension to $\mathbb{R}^n$?

Hahn-Banach theorem seems to permit "unpermitted" operations

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