List questions from banach-spaces

Published on 15 Apr 2019 - 2:06

124

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Does $g_n \rightarrow 0$ converge weakly?

Published on 16 Apr 2019 - 4:21

60

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Convergence of a sequence by the convergence of a subsequence

Published on 16 Apr 2019 - 9:15

1k

Views

Uniqueness of Hahn-Banach extensions for $c_0 \subseteq \ell^\infty$

Published on 25 Mar 2026 - 8:09

66

Views

Is $X$ reflexive if $X=\cup Y_i $ and $Y_i$ is reflexive for every $i$?

Published on 23 Feb 2026 - 1:06

109

Views

Every Dunford-Pettis operator is compact

Published on 26 Mar 2026 - 1:07

36

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The relationship among different types of fundamental spaces.

Published on 20 Apr 2019 - 17:52

118

Views

Norm $C^1$ multivariate functions

Published on 21 Apr 2019 - 11:48

232

Views

Approximating a Banach space "vector- valued function" by "simple functions"

Published on 25 Mar 2026 - 8:05

35

Views

Let $X$ be a Banach space. $P∈B(X)$ satisfies $P^2=P$. Prove that $X=\ker P⊕P(X)$

Published on 22 Apr 2019 - 12:30

144

Views

If $T$ is a topological isomorphism, then so is $T^*$

Published on 26 Mar 2026 - 13:51

40

Views

$\ell^p(J)$ is complete (Banach)

Published on 26 Mar 2026 - 1:26

156

Views

Is this space equivalent to the James space?

Published on 25 Apr 2019 - 4:10

2k

Views

Prove $ C^1[0,1]$ is not a Banach space with the sup-norm

Published on 25 Apr 2019 - 15:19

354

Views

Why are these two characterizations of compact operators equivalent?

Published on 25 Mar 2026 - 20:35

List Question

Prove that $X_0$ is a closed subspace of $X$

Does $g_n \rightarrow 0$ converge weakly?

Convergence of a sequence by the convergence of a subsequence

Uniqueness of Hahn-Banach extensions for $c_0 \subseteq \ell^\infty$

Is $X$ reflexive if $X=\cup Y_i $ and $Y_i$ is reflexive for every $i$?

Every Dunford-Pettis operator is compact

The relationship among different types of fundamental spaces.

Norm $C^1$ multivariate functions

Approximating a Banach space "vector- valued function" by "simple functions"

Let $X$ be a Banach space. $P∈B(X)$ satisfies $P^2=P$. Prove that $X=\ker P⊕P(X)$

If $T$ is a topological isomorphism, then so is $T^*$

$\ell^p(J)$ is complete (Banach)

Is this space equivalent to the James space?

Prove $ C^1[0,1]$ is not a Banach space with the sup-norm

Why are these two characterizations of compact operators equivalent?

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