List questions from banach-spaces

Published on 22 Mar 2026 - 20:38

222

Views

Compactness in $L^p$ and $L^\infty$

Published on 23 Mar 2026 - 1:10

74

Views

What does $M$-equivalent basis mean?

Published on 30 Mar 2018 - 0:13

36

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Linear operator from a normed space to the set of all functions on $[0,1]$

Published on 31 Mar 2018 - 1:08

117

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Dimension quotient space of isomorphic Banach spaces

Published on 25 Mar 2026 - 0:07

44

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Any nontrivial bounded map is open

Published on 31 Mar 2018 - 12:02

375

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Show that for every $p\geq 1,$ $\ell_p$ is linearly isometric to a subspace of $L_p[0,1]$.

Published on 25 Mar 2026 - 1:18

194

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Can sufficiency of James's Theorem be derived from Hahn-Banach Theorem?

Published on 25 Mar 2026 - 1:37

268

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let $L$ be a linear form, is $L$ continuous?

Published on 01 Apr 2018 - 16:55

128

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Let $Y,Z$ be subspaces of a Banach space $X$ such that $Y$ is isomorphic to $Z.$ Are $X/Y$ and $X/Z$ isomorphic?

Published on 02 Apr 2018 - 7:20

211

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Isomorphism on Dual spaces by Bounded Linear Operator

Published on 25 Mar 2026 - 0:01

155

Views

The positive net of a weak* convergent net is weak* convergent.

Published on 20 Mar 2026 - 14:32

56

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Inequality of operators $ \left\vert \langle x, TS x \rangle \right\rvert \le \langle x,T x \rangle \left\lVert S \right\rVert$

Published on 01 Apr 2018 - 22:29

83

Views

A question about Banach lattice

Published on 03 Apr 2018 - 5:37

24

Views

Is $C_b(L,E)$ a function module?

Published on 03 Apr 2018 - 7:48

List Question

metrizability of weak topology

Compactness in $L^p$ and $L^\infty$

What does $M$-equivalent basis mean?

Linear operator from a normed space to the set of all functions on $[0,1]$

Dimension quotient space of isomorphic Banach spaces

Any nontrivial bounded map is open

Show that for every $p\geq 1,$ $\ell_p$ is linearly isometric to a subspace of $L_p[0,1]$.

Can sufficiency of James's Theorem be derived from Hahn-Banach Theorem?

let $L$ be a linear form, is $L$ continuous?

Let $Y,Z$ be subspaces of a Banach space $X$ such that $Y$ is isomorphic to $Z.$ Are $X/Y$ and $X/Z$ isomorphic?

Isomorphism on Dual spaces by Bounded Linear Operator

The positive net of a weak* convergent net is weak* convergent.

Inequality of operators $ \left\vert \langle x, TS x \rangle \right\rvert \le \langle x,T x \rangle \left\lVert S \right\rVert$

A question about Banach lattice

Is $C_b(L,E)$ a function module?

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