List questions from banach-spaces

Published on 10 May 2026 - 18:59

228

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

Published on 11 May 2026 - 0:51

76

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What does $M$-equivalent basis mean?

Published on 14 Apr 2026 - 6:54

39

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

Published on 11 Apr 2026 - 13:39

118

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Dimension quotient space of isomorphic Banach spaces

Published on 10 May 2026 - 15:51

47

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Any nontrivial bounded map is open

Published on 16 Apr 2026 - 4:29

378

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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 10 May 2026 - 14:32

197

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

Published on 10 May 2026 - 19:38

271

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

Published on 12 Apr 2026 - 9:19

131

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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 15 Apr 2026 - 6:49

212

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Isomorphism on Dual spaces by Bounded Linear Operator

Published on 10 May 2026 - 15:50

162

Views

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

Published on 22 Apr 2026 - 4:57

59

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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 16 Apr 2026 - 11:57

86

Views

A question about Banach lattice

Published on 10 Apr 2026 - 1:50

27

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

Published on 12 Apr 2026 - 8:45

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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