List questions from reflexive-space

Published on 11 Feb 2020 - 4:33

130

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Show that $\{y^*\}$ separates the points of $Y$.

Published on 11 Feb 2020 - 22:54

157

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Reflexive space and separable spaces

Published on 25 Feb 2020 - 23:55

654

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Prove that $T$ is bounded iff $x_{n} \rightharpoonup x \quad \Rightarrow \quad Tx_{n} \rightharpoonup Tx.$

Published on 13 Apr 2020 - 2:33

105

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Understanding the last part in the proof that $T$ is bounded.

Published on 15 Apr 2020 - 13:57

329

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A question in the proof that Lipchitz continuous functions implies $W^{1,\infty}$.

Published on 04 May 2020 - 8:35

624

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The Relationship between Reflexive Space, Separable Space and Compactness

Published on 12 May 2020 - 16:12

187

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Weak convergence in reflexive space is equivalent to singleton intersection of the convex hulls

Published on 15 May 2020 - 20:27

177

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counterexample of reflexive space not hilbert

Published on 17 Jun 2020 - 23:22

72

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K(subset of C[0,1]) does not attain the minimal norm

Published on 28 Jun 2020 - 6:58

138

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Folland Real Analysis Exercise 5.24 - A Banach space is reflexive iff the dual is reflexive

Published on 15 Jul 2020 - 15:50

139

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Why does the irreflexivity of $L^1$ follow from $(L^1)'' \subsetneq L^1$?

Published on 26 Jul 2020 - 11:45

173

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Variational formulation how to find it

Published on 23 Mar 2023 - 6:10

152

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Brezis' exercise 4.16.1

Published on 05 Apr 2023 - 9:35

78

Views

Is the sum of a closed unit ball and a closed set itself closed?

Published on 30 May 2023 - 22:19

List Question

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

Show that $\{y^*\}$ separates the points of $Y$.

Reflexive space and separable spaces

Prove that $T$ is bounded iff $x_{n} \rightharpoonup x \quad \Rightarrow \quad Tx_{n} \rightharpoonup Tx.$

Understanding the last part in the proof that $T$ is bounded.

A question in the proof that Lipchitz continuous functions implies $W^{1,\infty}$.

The Relationship between Reflexive Space, Separable Space and Compactness

Weak convergence in reflexive space is equivalent to singleton intersection of the convex hulls

counterexample of reflexive space not hilbert

K(subset of C[0,1]) does not attain the minimal norm

Folland Real Analysis Exercise 5.24 - A Banach space is reflexive iff the dual is reflexive

Why does the irreflexivity of $L^1$ follow from $(L^1)'' \subsetneq L^1$?

Variational formulation how to find it

Brezis' exercise 4.16.1

Is the sum of a closed unit ball and a closed set itself closed?

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