Question

Reflexivity of intersection of two $L^p$ space

score 923 · Answer 1 · 2015-10-23 08:01:19

923

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Reflexivity of intersection of two $L^p$ space

Published on 23 Oct 2015 - 8:01

score 1.3k · Answer 2 · 2015-11-03 03:44:52

1.3k

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$C(K)$ is reflexive if and only if $K$ is finite

Published on 03 Nov 2015 - 3:44

score 428 · Answer 3 · 2017-12-03 15:57:13

428

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Best approximation in a reflexive normed space

Published on 03 Dec 2017 - 15:57

score 846 · Answer 4 · 2017-12-09 14:55:46

846

Views

For $f$ in dual space, there exists $x$ with norm 1 and $f(x)=\|f\|$ if space is reflexive (and nontrivial)

Published on 09 Dec 2017 - 14:55

score 2.8k · Answer 5 · 2018-01-11 05:24:38

2.8k

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Prove $L^p$ is reflexive for $1<p<\infty$ by using Riesz representation theorem

Published on 11 Jan 2018 - 5:24

score 21.7k · Answer 6 · 2012-06-01 06:19:06

21.7k

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A Banach space is reflexive if and only if its dual is reflexive

Published on 01 Jun 2012 - 6:19

score 275 · Answer 7 · 2020-09-07 08:28:02

275

Views

Relationship between a Banach Space $X$ and its bidual $X^{**}$

Published on 07 Sep 2020 - 8:28

score 156 · Answer 8 · 2020-09-10 20:15:13

156

Views

Weak convergence in a reflexive Banach space implies poitwise convergence

Published on 10 Sep 2020 - 20:15

score 26 · Answer 9 · 2020-09-22 17:41:24

26

Views

Reflexivity carried to the lesser norm

Published on 22 Sep 2020 - 17:41

score 497 · Answer 10 · 2020-10-07 09:35:25

497

Views

Suppose $X$ is a Banach space and $Y$ is a closed subspace. If $Y$ and $X{/}Y$ are reflexive, then is $X$ also reflexive?

Published on 07 Oct 2020 - 9:35

score 75 · Answer 11 · 2020-10-16 01:58:41

75

Views

Does a net converging to a point $x$ have a countable subset $\{x_n\}_n$ such that it converges to $x$ in a sequentially compact space?

Published on 16 Oct 2020 - 1:58

score 111 · Answer 12 · 2020-11-20 03:49:31

111

Views

Understanding equivalence classes

Published on 20 Nov 2020 - 3:49

score 176 · Answer 13 · 2020-11-23 18:31:21

176

Views

Best approximation to reflexive subspace - converse

Published on 23 Nov 2020 - 18:31

score 517 · Answer 14 · 2020-12-23 15:58:21

517

Views

A normed space $E$ is reflexive if and only if the weak- and weak*-topology coincide on $E'$

Published on 23 Dec 2020 - 15:58

score 526 · Answer 15 · 2021-01-07 00:25:55

526

Views

Proof of non-reflexivity of $l^\infty$ by finding a bounded sequence such that it contains no weakly convergent subsequence

Published on 07 Jan 2021 - 0:25

List Question

Reflexivity of intersection of two $L^p$ space

$C(K)$ is reflexive if and only if $K$ is finite

Best approximation in a reflexive normed space

For $f$ in dual space, there exists $x$ with norm 1 and $f(x)=\|f\|$ if space is reflexive (and nontrivial)

Prove $L^p$ is reflexive for $1<p<\infty$ by using Riesz representation theorem

A Banach space is reflexive if and only if its dual is reflexive

Relationship between a Banach Space $X$ and its bidual $X^{**}$

Weak convergence in a reflexive Banach space implies poitwise convergence

Reflexivity carried to the lesser norm

Suppose $X$ is a Banach space and $Y$ is a closed subspace. If $Y$ and $X{/}Y$ are reflexive, then is $X$ also reflexive?

Does a net converging to a point $x$ have a countable subset $\{x_n\}_n$ such that it converges to $x$ in a sequentially compact space?

Understanding equivalence classes

Best approximation to reflexive subspace - converse

A normed space $E$ is reflexive if and only if the weak- and weak*-topology coincide on $E'$

Proof of non-reflexivity of $l^\infty$ by finding a bounded sequence such that it contains no weakly convergent subsequence

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