Question

About $L^\infty$ in the dual of $L^1$

score 255 · Answer 1 · 2026-04-13 14:30:10

255

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About $L^\infty$ in the dual of $L^1$

Published on 13 Apr 2026 - 14:30

score 88 · Answer 2 · 2026-03-30 13:57:34

88

Views

Lipschitz-continuity of $x\mapsto\frac{x}{||x||}$ in a general Banach space

Published on 30 Mar 2026 - 13:57

score 83 · Answer 3 · 2026-04-12 13:05:34

83

Views

Uniqueness of endpoints of half-open line segments in linear spaces.

Published on 12 Apr 2026 - 13:05

score 115 · Answer 4 · 2026-04-14 15:45:36

115

Views

Convergence of partial sums of basis vectors in banach space

Published on 14 Apr 2026 - 15:45

score 2.4k · Answer 5 · 2026-04-14 02:16:07

2.4k

Views

Every bounded sequence of dual space contains a subsequence which is weak* convergent

Published on 14 Apr 2026 - 2:16

score 93 · Answer 6 · 2026-04-12 20:52:47

93

Views

About сonvergence of partial sums of basis of Banach space

Published on 12 Apr 2026 - 20:52

score 479 · Answer 7 · 2026-04-14 10:43:59

479

Views

Exercise 1.64 of Megginson's "An Introduction to Banach Space Theory".

Published on 14 Apr 2026 - 10:43

score 164 · Answer 8 · 2026-04-16 14:27:42

164

Views

The Banach Mazur distance between n-dimensional space and $ \ell_{\infty} ^n$

Published on 16 Apr 2026 - 14:27

score 214 · Answer 9 · 2026-04-14 14:27:21

214

Views

Exercise 1.65 of Megginson's “An Introduction to Banach Space Theory”.

Published on 14 Apr 2026 - 14:27

score 1.2k · Answer 10 · 2026-04-16 17:34:32

1.2k

Views

The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.

Published on 16 Apr 2026 - 17:34

score 198 · Answer 11 · 2026-04-16 04:49:10

198

Views

Weak convergence of Banach space valued random variables

Published on 16 Apr 2026 - 4:49

score 1.3k · Answer 12 · 2026-04-15 16:35:03

1.3k

Views

Unit ball of $L^1$, $L^\infty$ and $C(X)$ is not strictly convex

Published on 15 Apr 2026 - 16:35

score 259 · Answer 13 · 2026-04-12 02:56:02

259

Views

Quotient maps in Banach spaces

Published on 12 Apr 2026 - 2:56

score 164 · Answer 14 · 2026-04-11 13:07:26

164

Views

Proof that $C(K)$ is a Grothendieck space for $K$ an extremely disconnected compact space.

Published on 11 Apr 2026 - 13:07

score 397 · Answer 15 · 2026-04-04 03:49:38

397

Views

If $A$ is bounded and dissipative, is $\lambda \mathbb 1-A$ invertible for $\lambda>0$?

Published on 04 Apr 2026 - 3:49

List Question

About $L^\infty$ in the dual of $L^1$

Lipschitz-continuity of $x\mapsto\frac{x}{||x||}$ in a general Banach space

Uniqueness of endpoints of half-open line segments in linear spaces.

Convergence of partial sums of basis vectors in banach space

Every bounded sequence of dual space contains a subsequence which is weak* convergent

About сonvergence of partial sums of basis of Banach space

Exercise 1.64 of Megginson's "An Introduction to Banach Space Theory".

The Banach Mazur distance between n-dimensional space and $ \ell_{\infty} ^n$

Exercise 1.65 of Megginson's “An Introduction to Banach Space Theory”.

The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.

Weak convergence of Banach space valued random variables

Unit ball of $L^1$, $L^\infty$ and $C(X)$ is not strictly convex

Quotient maps in Banach spaces

Proof that $C(K)$ is a Grothendieck space for $K$ an extremely disconnected compact space.

If $A$ is bounded and dissipative, is $\lambda \mathbb 1-A$ invertible for $\lambda>0$?

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