Question

is $\langle\lim_{n\to \infty}u_n,g\rangle = \lim_{n\to\infty} \langle u,g\rangle $ valid for bounded linear operators?

score 68 · Answer 1 · 2015-05-05 17:12:21

68

Views

is $\langle\lim_{n\to \infty}u_n,g\rangle = \lim_{n\to\infty} \langle u,g\rangle $ valid for bounded linear operators?

Published on 05 May 2015 - 17:12

score 32 · Answer 2 · 2015-05-08 00:25:05

32

Views

Is $U\times\{y\}$ ever open in $X\times Y$, here $X$ and $Y$ are Banach spaces?

Published on 08 May 2015 - 0:25

score 196 · Answer 3 · 2015-05-08 18:36:07

196

Views

Are (L)-sets in dual Banach spaces weak* pre-compact or weak* sequentially pre-compact?

Published on 08 May 2015 - 18:36

score 708 · Answer 4 · 2026-04-10 00:07:28

708

Views

Prove/disprove space is complete with metric defined by an integral (triangle inequality still missing in metric part)

Published on 10 Apr 2026 - 0:07

score 5.6k · Answer 5 · 2026-04-02 02:50:38

5.6k

Views

Show that $c_0$ is a Banach space with the norm $\rVert \cdot \lVert_\infty$

Published on 02 Apr 2026 - 2:50

score 88 · Answer 6 · 2015-05-10 20:53:10

88

Views

Sequences and reflexivity

Published on 10 May 2015 - 20:53

score 196 · Answer 7 · 2026-03-28 19:39:51

196

Views

Choice of a dense subset of a separable Banach space

Published on 28 Mar 2026 - 19:39

score 472 · Answer 8 · 2015-05-11 14:58:48

472

Views

Net converging weak-*, implies uniform bound?

Published on 11 May 2015 - 14:58

score 140 · Answer 9 · 2026-04-02 02:50:38

140

Views

Show that $B(X)=\{f:X \rightarrow \mathbb{R}: f \text{ is bounded}\}$ is complete.

Published on 02 Apr 2026 - 2:50

score 303 · Answer 10 · 2015-05-11 18:47:52

303

Views

Bounded linear functionals over smooth maps of a compact interval

Published on 11 May 2015 - 18:47

score 241 · Answer 11 · 2015-05-12 08:13:37

241

Views

The property of closed subspace

Published on 12 May 2015 - 8:13

score 566 · Answer 12 · 2026-03-26 19:11:47

566

Views

A copy of $l_\infty$ in a infinite dimensional Banach space

Published on 26 Mar 2026 - 19:11

score 529 · Answer 13 · 2026-04-09 16:30:21

529

Views

Application of the Banach fixed point theorem

Published on 09 Apr 2026 - 16:30

score 54 · Answer 14 · 2026-04-10 20:12:17

54

Views

Independent symmetric 3-valued random variables in $L_p$

Published on 10 Apr 2026 - 20:12

score 363 · Answer 15 · 2026-03-30 01:44:58

363

Views

Compute Quotient Space

Published on 30 Mar 2026 - 1:44

List Question

is $\langle\lim_{n\to \infty}u_n,g\rangle = \lim_{n\to\infty} \langle u,g\rangle $ valid for bounded linear operators?

Is $U\times\{y\}$ ever open in $X\times Y$, here $X$ and $Y$ are Banach spaces?

Are (L)-sets in dual Banach spaces weak* pre-compact or weak* sequentially pre-compact?

Prove/disprove space is complete with metric defined by an integral (triangle inequality still missing in metric part)

Show that $c_0$ is a Banach space with the norm $\rVert \cdot \lVert_\infty$

Sequences and reflexivity

Choice of a dense subset of a separable Banach space

Net converging weak-*, implies uniform bound?

Show that $B(X)=\{f:X \rightarrow \mathbb{R}: f \text{ is bounded}\}$ is complete.

Bounded linear functionals over smooth maps of a compact interval

The property of closed subspace

A copy of $l_\infty$ in a infinite dimensional Banach space

Application of the Banach fixed point theorem

Independent symmetric 3-valued random variables in $L_p$

Compute Quotient Space

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