List questions from closed-graph

Published on 03 Sep 2013 - 16:41

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weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$

Published on 22 Feb 2014 - 23:00

123

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Rudin Functional Analysis Chapter 2 Problem 16

Published on 08 May 2017 - 8:19

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Question regarding closeability of the operator $\Lambda:L^2(\mathbb{R})\to \mathbb{R}$ given by $\Lambda f:= f(0)$?

Published on 23 Aug 2017 - 6:09

21

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Closed families of random variables exists?

Published on 14 Dec 2017 - 22:58

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Show that an operator is neither closed nor closable

Published on 17 Dec 2017 - 19:08

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When is the image of a linear operator (between Banach spaces) closed?

Published on 04 Feb 2013 - 22:30

121

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closed subspaces in $\ell^p$

Published on 02 Aug 2020 - 18:28

391

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Showing that the graph of a continuous linear mapping is closed if the domain is closed

Published on 11 Aug 2020 - 16:19

416

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Invertibility of any bounded operator $R$ st $\|I-R\|<1$

Published on 25 Aug 2020 - 14:36

211

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Show that there exists $M \gt 0$ such that for all $f \in S,$ $\|f\|_{\infty} \leq M \|f\|_2.$

Published on 16 Sep 2020 - 16:57

572

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Closed but not continuous operator

Published on 18 Sep 2020 - 14:07

46

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Check the following statements about closed Operator $A:X \rightarrow X$

Published on 19 Oct 2020 - 11:33

503

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Closed graph theorem and continuity

Published on 14 Nov 2020 - 14:47

93

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Application of closed graph theorem: proving continuity of $F : H \to H$ satisfying $\langle{Fx, y\rangle} = \langle{x, Fy\rangle}$

Published on 16 Nov 2020 - 5:02

List Question

Is $T$ continuous and has closed graph?

weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$

Rudin Functional Analysis Chapter 2 Problem 16

Question regarding closeability of the operator $\Lambda:L^2(\mathbb{R})\to \mathbb{R}$ given by $\Lambda f:= f(0)$?

Closed families of random variables exists?

Show that an operator is neither closed nor closable

When is the image of a linear operator (between Banach spaces) closed?

closed subspaces in $\ell^p$

Showing that the graph of a continuous linear mapping is closed if the domain is closed

Invertibility of any bounded operator $R$ st $\|I-R\|<1$

Show that there exists $M \gt 0$ such that for all $f \in S,$ $\|f\|_{\infty} \leq M \|f\|_2.$

Closed but not continuous operator

Check the following statements about closed Operator $A:X \rightarrow X$

Closed graph theorem and continuity

Application of closed graph theorem: proving continuity of $F : H \to H$ satisfying $\langle{Fx, y\rangle} = \langle{x, Fy\rangle}$

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