List questions from closed-graph

Published on 19 Aug 2016 - 18:39

133

Views

Showing continuity of a linear transformation using Closed graph theorem

Published on 25 Sep 2016 - 17:26

37

Views

Showing a linear map to be bounded

Published on 25 Sep 2016 - 18:02

148

Views

Show continuity of a linear transformation using Closed graph theorem

Published on 26 Sep 2016 - 5:38

956

Views

Show that the map $A : l^p \rightarrow l^q $ is a bounded linear map

Published on 30 Sep 2016 - 13:16

150

Views

Is there a function $f:X\to Y$ with closed graph such that...?

Published on 12 Oct 2016 - 1:45

710

Views

Failure of closed graph theorem in this example

Published on 18 Oct 2016 - 21:20

69

Views

Do we really need completeness of $Y$?

Published on 08 Nov 2016 - 21:09

829

Views

Invertible linear Operators

Published on 21 Nov 2016 - 9:51

465

Views

Application of closed graph theorem 3

Published on 05 Dec 2016 - 18:17

546

Views

Prove sublevel set is closed

Published on 20 Feb 2017 - 20:36

908

Views

Example of a linear operator whose graph is not closed but it takes a closed set to a closed set

Published on 25 Mar 2026 - 9:27

107

Views

Closed graph theorem for operator topologies - Do operator topologies yield Fréchet spaces?

Published on 29 Mar 2017 - 9:34

132

Views

Example of a closed map which is not continuous.

Published on 25 Mar 2026 - 11:12

61

Views

Understanding the 2-norm inequality for commuting orthogonal subspaces of traceless matrices in direct sum

Published on 14 May 2023 - 3:10

List Question

The definition of a closed function and its epigraph

Showing continuity of a linear transformation using Closed graph theorem

Showing a linear map to be bounded

Show continuity of a linear transformation using Closed graph theorem

Show that the map $A : l^p \rightarrow l^q $ is a bounded linear map

Is there a function $f:X\to Y$ with closed graph such that...?

Failure of closed graph theorem in this example

Do we really need completeness of $Y$?

Invertible linear Operators

Application of closed graph theorem 3

Prove sublevel set is closed

Example of a linear operator whose graph is not closed but it takes a closed set to a closed set

Closed graph theorem for operator topologies - Do operator topologies yield Fréchet spaces?

Example of a closed map which is not continuous.

Understanding the 2-norm inequality for commuting orthogonal subspaces of traceless matrices in direct sum

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