List questions from banach-spaces

Published on 14 Apr 2026 - 11:59

543

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Normed vector spaces and Banach spaces

Published on 15 Apr 2026 - 6:05

786

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Can a space have both a conditional and an unconditional basis?

Published on 16 Apr 2026 - 18:41

5k

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Examples of Banach spaces

Published on 12 Apr 2026 - 20:59

172

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$M+N$ is a closed subspaces of banach space iff $M^{\bot} +N^{\bot}$ is closed subspace of dual

Published on 15 Apr 2026 - 0:13

78

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Spaces of class $J_\alpha$

Published on 11 Apr 2026 - 11:12

199

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Definition of a countable direct sum of subspaces of a Banach space

Published on 14 Apr 2026 - 7:03

216

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A space $X$ that contains a copy of $\ell_1$, does not contain a complemented copy of $\ell_1$, and whose dual is not weakly sequentially complete

Published on 15 Apr 2026 - 15:31

2.4k

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Linear isometry between $c_0$ and $c$

Published on 15 Apr 2026 - 6:53

5.5k

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Example of two norms on same space, non-equivalent, with one dominating the other

Published on 13 Apr 2026 - 13:15

287

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Continuity in a Banach Space

Published on 14 Apr 2026 - 16:19

1.5k

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Convex Hull of Precompact Subset is Precompact

Published on 15 Apr 2026 - 23:48

92

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Is there any space with normal structure but not uniform normal structure?

Published on 12 Apr 2026 - 5:38

700

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Infinite dimensional constant rank theorem

Published on 13 Apr 2026 - 19:06

115

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Do I have a Banach space given this wacky norm?

Published on 14 Apr 2026 - 8:36

List Question

Banach spaces and quotient space

Normed vector spaces and Banach spaces

Can a space have both a conditional and an unconditional basis?

Examples of Banach spaces

$M+N$ is a closed subspaces of banach space iff $M^{\bot} +N^{\bot}$ is closed subspace of dual

Spaces of class $J_\alpha$

Definition of a countable direct sum of subspaces of a Banach space

A space $X$ that contains a copy of $\ell_1$, does not contain a complemented copy of $\ell_1$, and whose dual is not weakly sequentially complete

Linear isometry between $c_0$ and $c$

Example of two norms on same space, non-equivalent, with one dominating the other

Continuity in a Banach Space

Convex Hull of Precompact Subset is Precompact

Is there any space with normal structure but not uniform normal structure?

Infinite dimensional constant rank theorem

Do I have a Banach space given this wacky norm?

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