List questions from banach-spaces

Published on 25 Mar 2026 - 8:08

98

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An exercise about the $C_{00}$ space

Published on 03 Mar 2017 - 1:02

1.1k

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Don't follow proof that Hadamard differentiable implies compactly differentiable

Published on 03 Mar 2017 - 9:23

155

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Incorrect proof of the Open Mapping Theorem

Published on 26 Mar 2026 - 11:16

209

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Second dual of a weak-star space

Published on 28 Mar 2026 - 21:57

950

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Dense subspace of a normed linear space

Published on 05 Mar 2017 - 7:55

52

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Construct a sequence $(x_{n})$ such that $\bigcap_{n=1}^{\infty} K_{n} = \{x\}$, and $(x_{n})$ is not bounded.

Published on 26 Mar 2026 - 6:28

110

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Is the set of continuous functions of bounded integral metrizable?

Published on 06 Mar 2017 - 17:57

135

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Is there a category of spaces with multiple choices of topology?

Published on 07 Mar 2017 - 17:58

103

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Examples of self-saturated Banach spaces.

Published on 07 Mar 2017 - 19:43

1.2k

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Banach space with non-complemented subspace

Published on 07 Mar 2017 - 20:06

75

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Can I restrict the condition on the Goldstine's theorem?

Published on 08 Mar 2017 - 11:41

178

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Are Banach spaces complete with their weak uniform structures?

Published on 23 Feb 2026 - 10:23

91

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Weakly compactness of a set of finitely additive measures

Published on 08 Mar 2017 - 18:09

50

Views

Pseudonorm from royden book

Published on 09 Mar 2017 - 4:14

List Question

Every Banach space with a Schauder basis also has a nonmonotone basis

An exercise about the $C_{00}$ space

Don't follow proof that Hadamard differentiable implies compactly differentiable

Incorrect proof of the Open Mapping Theorem

Second dual of a weak-star space

Dense subspace of a normed linear space

Construct a sequence $(x_{n})$ such that $\bigcap_{n=1}^{\infty} K_{n} = \{x\}$, and $(x_{n})$ is not bounded.

Is the set of continuous functions of bounded integral metrizable?

Is there a category of spaces with multiple choices of topology?

Examples of self-saturated Banach spaces.

Banach space with non-complemented subspace

Can I restrict the condition on the Goldstine's theorem?

Are Banach spaces complete with their weak uniform structures?

Weakly compactness of a set of finitely additive measures

Pseudonorm from royden book

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