List questions from reflexive-space

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Exercise 5.16 from Brezis' Functional Analysis

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How many points does a line intersect a sphere in an infinite-dimensional normed vector space?

Published on 22 May 2022 - 9:12

21

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The existence of a sequence in a non reflexive Banach space

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Dual of space of compactly supported distribution is space of smooth functions.

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Using category theory, prove that a Banach space is reflexive iff its dual is reflexive

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Prove that $c_0$ is not reflexive

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Norm equivalence preserves canonical evaluation map and thus reflexivity

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Let $E$ be a Hilbert space and $p \in (1, \infty)$. Then $L_p(X, \mu, E)$ is reflexive

Published on 05 Aug 2022 - 4:29

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Reference request: If $E$ is a reflexive Banach space, then $L_p(X, \mu, E)$ is reflexive and $(L_p(X, \mu, E))^* = L_q(X, \mu, E^*)$

Published on 17 Aug 2022 - 2:19

76

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Do symmetric monoidal functors preserve reflexivity?

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Extending a linear functional on a closed subspace

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Normed space constructed from the iterated double duals of a Banach space

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190

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Brezis Functional Analysis Exercise 3.14 (A Variation of Helly's Theorem)

Published on 10 Sep 2022 - 0:55

76

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Dual spaces isomorphic

Published on 22 Sep 2022 - 3:49

List Question

A Space is Reflexive if its Image under the Canonical Injection is Reflexive?

Exercise 5.16 from Brezis' Functional Analysis

How many points does a line intersect a sphere in an infinite-dimensional normed vector space?

The existence of a sequence in a non reflexive Banach space

Dual of space of compactly supported distribution is space of smooth functions.

Using category theory, prove that a Banach space is reflexive iff its dual is reflexive

Prove that $c_0$ is not reflexive

Norm equivalence preserves canonical evaluation map and thus reflexivity

Let $E$ be a Hilbert space and $p \in (1, \infty)$. Then $L_p(X, \mu, E)$ is reflexive

Reference request: If $E$ is a reflexive Banach space, then $L_p(X, \mu, E)$ is reflexive and $(L_p(X, \mu, E))^* = L_q(X, \mu, E^*)$

Do symmetric monoidal functors preserve reflexivity?

Extending a linear functional on a closed subspace

Normed space constructed from the iterated double duals of a Banach space

Brezis Functional Analysis Exercise 3.14 (A Variation of Helly's Theorem)

Dual spaces isomorphic

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