List questions from banach-spaces

Published on 12 Apr 2026 - 1:06

896

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"Taylor expansion" of a function taking values in a Banach space

Published on 15 Apr 2026 - 4:40

197

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Space of functions that are everywhere differentiable

Published on 15 Apr 2026 - 16:17

1.5k

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Proving $\ell_\infty$ is complete

Published on 14 Apr 2026 - 9:33

155

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A basic result about operators on Hilbert space.

Published on 12 Apr 2026 - 6:40

217

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Is this set dense in $H^1(\Omega)?$

Published on 19 Apr 2026 - 17:05

169

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Does a cofinite dimensional subspace of a subspace remain cofinite dimensional upon taking closures?

Published on 14 Apr 2026 - 18:30

2k

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Is $(l^1 ,\|.\|)$ a Banach space?

Published on 13 Apr 2026 - 21:34

164

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Is $\| x \| = \sup\{ | \sum_{k=1}^n x_k |\colon n\in \mathbb{N}\} $ a norm in $\ell_1$?

Published on 15 Apr 2026 - 19:09

292

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Extensions of Carathéodory's theorem

Published on 10 Apr 2026 - 7:10

162

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Need to confirm: Sup Metric $C[0,1]$, question about boundary

Published on 14 Apr 2026 - 14:10

329

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Counterexample for "the sum of closed operators is closable"

Published on 14 Apr 2026 - 3:18

195

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How to show $C(0,T;H)$ is Banach space

Published on 13 Apr 2026 - 3:05

580

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Sum of Banach spaces

Published on 19 Apr 2026 - 21:35

206

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Show that the image of $T:l^{\infty}\to l^{\infty}$, $(x_n)_n \mapsto \Big(\frac{x_n}{n}\Big)_n$ is not closed in $l^{\infty}$.

Published on 16 Apr 2026 - 13:46

List Question

$L_p$ spaces and convergence

"Taylor expansion" of a function taking values in a Banach space

Space of functions that are everywhere differentiable

Proving $\ell_\infty$ is complete

A basic result about operators on Hilbert space.

Is this set dense in $H^1(\Omega)?$

Does a cofinite dimensional subspace of a subspace remain cofinite dimensional upon taking closures?

Is $(l^1 ,\|.\|)$ a Banach space?

Is $\| x \| = \sup\{ | \sum_{k=1}^n x_k |\colon n\in \mathbb{N}\} $ a norm in $\ell_1$?

Extensions of Carathéodory's theorem

Need to confirm: Sup Metric $C[0,1]$, question about boundary

Counterexample for "the sum of closed operators is closable"

How to show $C(0,T;H)$ is Banach space

Sum of Banach spaces

Show that the image of $T:l^{\infty}\to l^{\infty}$, $(x_n)_n \mapsto \Big(\frac{x_n}{n}\Big)_n$ is not closed in $l^{\infty}$.

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