List questions from closed-graph

Published on 21 Jul 2019 - 13:27

58

Views

If $Tx=0$ is $T$ necessarily closed

Published on 25 Mar 2026 - 7:41

22

Views

Confusion on when we can assume $\operatorname{dom}(T)$ is closed within itself

Published on 24 Jul 2019 - 22:33

466

Views

If $\langle Tx, y \rangle=\langle x, Ty \rangle $ then $T$ is continuous

Published on 28 Jul 2019 - 9:40

507

Views

Why is proof of the [topological] closed graph theorem incorrect?

Published on 10 Apr 2014 - 22:38

167

Views

$g(T)$ bounded implies $T$ bounded, if $T$ is linear and $g$ is bounded linear functional

Published on 24 Jun 2014 - 19:18

252

Views

Help with closed graph theorem

Published on 13 Jul 2014 - 13:16

258

Views

Real Analysis - Relation between closed graph and continuity of domain

Published on 15 Oct 2014 - 2:41

649

Views

Convergence with respect to the graph norm

Published on 22 Oct 2014 - 7:17

435

Views

Graph of weakly continuous linear operator

Published on 26 Nov 2014 - 20:17

481

Views

How to show that the operator $T(\{x_n\})=\{n x_n\}$ has closed graph?

Published on 13 Dec 2014 - 22:28

50

Views

Map on finite Hausdorff space

Published on 04 Oct 2019 - 12:37

505

Views

Problem 8 Section 4.13 Kreyszig Functional analysis

Published on 05 Nov 2019 - 10:40

68

Views

$\mathbb{R^n}$ with a norm $||.||$, where $(\mathbb{R^n},||.||)$ is a Banach space

Published on 08 Nov 2019 - 8:06

79

Views

Closed Graph Theorem: Prelim Prep Problem

Published on 07 Dec 2019 - 1:21

List Question

Showing that the $T: \operatorname{dom}(T) \to \ell^{2}$ is closed

If $Tx=0$ is $T$ necessarily closed

Confusion on when we can assume $\operatorname{dom}(T)$ is closed within itself

If $\langle Tx, y \rangle=\langle x, Ty \rangle $ then $T$ is continuous

Why is proof of the [topological] closed graph theorem incorrect?

$g(T)$ bounded implies $T$ bounded, if $T$ is linear and $g$ is bounded linear functional

Help with closed graph theorem

Real Analysis - Relation between closed graph and continuity of domain

Convergence with respect to the graph norm

Graph of weakly continuous linear operator

How to show that the operator $T(\{x_n\})=\{n x_n\}$ has closed graph?

Map on finite Hausdorff space

Problem 8 Section 4.13 Kreyszig Functional analysis

$\mathbb{R^n}$ with a norm $||.||$, where $(\mathbb{R^n},||.||)$ is a Banach space

Closed Graph Theorem: Prelim Prep Problem

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