List questions from reflexive-space

Published on 01 Feb 2022 - 3:13

209

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Do Kakutani's, Helly's, and Goldstine's theorems all hold for general normed linear spaces?

Published on 01 Feb 2022 - 15:30

74

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If $E,F$ are reflexive Banach spaces, then the graphs of unbounded linear operators $A$ and $A''$ are isometrically isomorphic

Published on 02 Feb 2022 - 17:30

170

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Let $E$ be a reflexive Banach space and $M$ its closed linear subspace. Then $M$ is reflexive

Published on 12 Feb 2022 - 15:50

53

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Reflexive Banach space.

Published on 12 Feb 2022 - 22:08

217

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Where does my proof of Milman-Pettis theorem break down?

Published on 13 Feb 2022 - 23:05

77

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An intuitive exposition of a proof of Milman–Pettis theorem

Published on 15 Feb 2022 - 10:26

366

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A simpler proof of Milman–Pettis theorem by diameter argument

Published on 15 Feb 2022 - 14:01

135

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A proof without using net in Brezis's Ex 3.14

Published on 24 Feb 2022 - 16:27

363

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Brezis's Ex 3.22: If $E$ is reflexive, there is a sequence of norm $1$ that weakly converges to $0$

Published on 04 Mar 2022 - 13:46

92

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How are the metric structure and infiniteness of $K$ essential in Brezis's Ex 3.25?

Published on 04 Mar 2022 - 18:23

414

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Intuition on why Reflexive Spaces are Important

Published on 07 Mar 2022 - 3:55

116

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Spectrum of positive linear operators defined for every $L^p$ space.

Published on 20 Mar 2022 - 0:18

38

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Qustion about attaining of the functional norm

Published on 23 Mar 2022 - 20:15

435

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Reflexivity and Separability of $L^{\infty}$ and $L^{1}$

Published on 27 Mar 2022 - 12:56

List Question

If $(^0E)^0=E$ for every closed subspace $E\subset X^*$ then $X$ is reflexive.

Do Kakutani's, Helly's, and Goldstine's theorems all hold for general normed linear spaces?

If $E,F$ are reflexive Banach spaces, then the graphs of unbounded linear operators $A$ and $A''$ are isometrically isomorphic

Let $E$ be a reflexive Banach space and $M$ its closed linear subspace. Then $M$ is reflexive

Reflexive Banach space.

Where does my proof of Milman-Pettis theorem break down?

An intuitive exposition of a proof of Milman–Pettis theorem

A simpler proof of Milman–Pettis theorem by diameter argument

A proof without using net in Brezis's Ex 3.14

Brezis's Ex 3.22: If $E$ is reflexive, there is a sequence of norm $1$ that weakly converges to $0$

How are the metric structure and infiniteness of $K$ essential in Brezis's Ex 3.25?

Intuition on why Reflexive Spaces are Important

Spectrum of positive linear operators defined for every $L^p$ space.

Qustion about attaining of the functional norm

Reflexivity and Separability of $L^{\infty}$ and $L^{1}$

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