List questions from banach-spaces

Published on 16 Apr 2026 - 22:26

222

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compute the spectrum of an operator

Published on 09 Apr 2026 - 23:01

513

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Can a meager linear subspace be written as a countable increasing union of nowhere dense subspaces?

Published on 10 Apr 2026 - 2:04

122

Views

prove that this double transpose $T''$ it's not injective.

Published on 14 Apr 2026 - 20:28

49

Views

prove that $T''$ is not injective (difficult computation)

Published on 14 Apr 2026 - 5:25

425

Views

transpose of the exponential operator

Published on 09 Apr 2026 - 1:23

1.2k

Views

Linear functionals separate point and closed subspace of Banach space

Published on 13 Apr 2026 - 16:17

17.4k

Views

is bounded linear operator necessarily continuous?

Published on 09 Apr 2026 - 4:17

392

Views

compute the norm of a compact operator on $l^2$

Published on 12 Apr 2026 - 13:45

474

Views

Linear subspace of Banach space containing unit ball

Published on 15 Apr 2026 - 16:54

707

Views

If a Banach space $X$ is isometric to its first dual $X^*$, must $X$ be reflexive?

Published on 13 Apr 2026 - 9:30

87

Views

Let $V$ be a normed vector space over $\mathbb{C}$, is there an inner product structure on $V$ such that the two spaces have the same topology.

Published on 15 Apr 2026 - 5:39

1.6k

Views

Proof of the nonexistence of an identity $\phi$ involving convolution

Published on 14 Apr 2026 - 15:17

196

Views

Reflexive, separable containing all finite dimensional spaces almost isometrically

Published on 14 Apr 2026 - 11:18

86

Views

Closure of $l_p$

Published on 13 Apr 2026 - 17:33

List Question

a compact operator on $l^2$ defined by an infinite matrix

compute the spectrum of an operator

Can a meager linear subspace be written as a countable increasing union of nowhere dense subspaces?

prove that this double transpose $T''$ it's not injective.

prove that $T''$ is not injective (difficult computation)

transpose of the exponential operator

Linear functionals separate point and closed subspace of Banach space

is bounded linear operator necessarily continuous?

compute the norm of a compact operator on $l^2$

Linear subspace of Banach space containing unit ball

If a Banach space $X$ is isometric to its first dual $X^*$, must $X$ be reflexive?

Let $V$ be a normed vector space over $\mathbb{C}$, is there an inner product structure on $V$ such that the two spaces have the same topology.

Proof of the nonexistence of an identity $\phi$ involving convolution

Reflexive, separable containing all finite dimensional spaces almost isometrically

Closure of $l_p$

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