List questions from banach-spaces

Published on 02 Dec 2018 - 14:46

85

Views

Unconditional constant vs Suppression unconditional constant

Published on 25 Mar 2026 - 4:59

87

Views

Weak closure of subsets of the unitary sphere of a Banach space.

Published on 25 Mar 2026 - 9:39

206

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Set of injective operators is a dense residual set in $\mathcal{B}(\mathfrak{X})$

Published on 04 Dec 2018 - 20:17

173

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Convergence of a sequence on the unit sphere of Bahach or Hilbert space

Published on 05 Dec 2018 - 9:38

395

Views

Applications of $L_p$ spaces

Published on 25 Mar 2026 - 12:37

248

Views

Closed subspace and quotient norm

Published on 25 Mar 2026 - 16:08

145

Views

The subspace $S$ defines an equivalence relation $f \sim g$ to mean $f-g \in S$. Show that $B/S$ is a Banach space

Published on 07 Dec 2018 - 19:03

436

Views

A linear functional $l$ on a Banach space $B$ is continuous if and only if $\{f \in B : l(f)=0 \}$ is closed .

Published on 08 Dec 2018 - 11:05

672

Views

Proving that if the dual space $X^*$ of a Banach space $X$ is separable , then $X$ is separable

Published on 25 Mar 2026 - 11:21

616

Views

A counterexample of Banach Steinhaus Theorem

Published on 09 Dec 2018 - 3:04

368

Views

Norm of a bounded linear functional.

Published on 10 Dec 2018 - 7:22

86

Views

compactness and relative compactness

Published on 10 Dec 2018 - 12:05

93

Views

If X has beta property, do $(x_i)_i$ points are LUR?

Published on 11 Dec 2018 - 22:37

106

Views

$A_1,A_2$ fulfill property, but their sum $A_1+A_2$ does not

Published on 12 Dec 2018 - 9:26

List Question

Properties of Hilbert space valued functions

Unconditional constant vs Suppression unconditional constant

Weak closure of subsets of the unitary sphere of a Banach space.

Set of injective operators is a dense residual set in $\mathcal{B}(\mathfrak{X})$

Convergence of a sequence on the unit sphere of Bahach or Hilbert space

Applications of $L_p$ spaces

Closed subspace and quotient norm

The subspace $S$ defines an equivalence relation $f \sim g$ to mean $f-g \in S$. Show that $B/S$ is a Banach space

A linear functional $l$ on a Banach space $B$ is continuous if and only if $\{f \in B : l(f)=0 \}$ is closed .

Proving that if the dual space $X^*$ of a Banach space $X$ is separable , then $X$ is separable

A counterexample of Banach Steinhaus Theorem

Norm of a bounded linear functional.

compactness and relative compactness

If X has beta property, do $(x_i)_i$ points are LUR?

$A_1,A_2$ fulfill property, but their sum $A_1+A_2$ does not

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