List questions from banach-spaces

Published on 25 Mar 2026 - 19:04

36

Views

Convergence of $\chi_n = \mathbb{1}_{\{1,2,...,,n\}}$ in different topologies

Published on 27 Mar 2026 - 0:04

67

Views

Let $E$ and $F$ be Banach spaces and $T: E → F$ a function weakly Lipschitzian then $T$ is Lipschitzian

Published on 27 Mar 2026 - 0:04

651

Views

Does the Fourier map preserve the inner product?

Published on 31 Mar 2026 - 23:54

294

Views

Proving a property of sequences in a Uniformly Convex Banach space

Published on 31 Jan 2020 - 4:45

45

Views

Aproximation Property: Problm 1.e.9 in Lindenstrauss-Tzafriri

Published on 31 Jan 2020 - 5:23

124

Views

SOT - limit of finite rank operators

Published on 01 Feb 2020 - 0:50

245

Views

Example of sequence of continuous linear maps converging pointwise to zero without converging in norm

Published on 01 Feb 2020 - 9:21

127

Views

Identification singular measures in one-point compactification

Published on 03 Feb 2020 - 10:28

361

Views

Banach Space with coercive bilinear form is a Hilbert Space

Published on 03 Feb 2020 - 22:52

59

Views

Some property of Banach space

Published on 05 Feb 2020 - 15:15

86

Views

Completeness of $L^\infty$

Published on 05 Feb 2020 - 18:22

67

Views

Is this construction of Bochner integral problematic?

Published on 06 Feb 2020 - 11:19

1.9k

Views

Proving $L^p$ is a uniformly convex Banach space.

Published on 25 Mar 2026 - 15:51

47

Views

Show that the linear subspace $Y$ of $X$ generated by : ${\displaystyle\bigcup_{i} A_i}$ is closed.

Published on 23 Feb 2026 - 4:41

List Question

Closed unit ball of $X^*$ has extreme points.

Convergence of $\chi_n = \mathbb{1}_{\{1,2,...,,n\}}$ in different topologies

Let $E$ and $F$ be Banach spaces and $T: E → F$ a function weakly Lipschitzian then $T$ is Lipschitzian

Does the Fourier map preserve the inner product?

Proving a property of sequences in a Uniformly Convex Banach space

Aproximation Property: Problm 1.e.9 in Lindenstrauss-Tzafriri

SOT - limit of finite rank operators

Example of sequence of continuous linear maps converging pointwise to zero without converging in norm

Identification singular measures in one-point compactification

Banach Space with coercive bilinear form is a Hilbert Space

Some property of Banach space

Completeness of $L^\infty$

Is this construction of Bochner integral problematic?

Proving $L^p$ is a uniformly convex Banach space.

Show that the linear subspace $Y$ of $X$ generated by : ${\displaystyle\bigcup_{i} A_i}$ is closed.

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