Question

Under what condition on the space X, any Continuous operator will be Completely continuous.

score 41 · Answer 1 · 2026-03-20 08:03:59

41

Views

Under what condition on the space X, any Continuous operator will be Completely continuous.

Published on 20 Mar 2026 - 8:03

score 75 · Answer 2 · 2018-11-06 17:09:19

75

Views

Weak convergence of $\frac{1}{n} \sum_{i = 1}^{n} \delta_{2 \cos(2 \pi k / n)}$ to $\frac{1}{\pi \sqrt{4 - x^2}} {\large\chi}_{|x|\leq 2} dx,$

Published on 06 Nov 2018 - 17:09

score 83 · Answer 3 · 2018-11-09 15:00:42

83

Views

Does $u'_k \to v$ weakly imply $u_k \to u$ weakly with $u' = v$?

Published on 09 Nov 2018 - 15:00

score 67 · Answer 4 · 2026-03-27 17:57:32

67

Views

How to prove this result somewhat similar to Du Bois-Reymond's Lemma?

Published on 27 Mar 2026 - 17:57

score 30 · Answer 5 · 2018-11-14 15:22:53

30

Views

Nature of Distribution of a Random Vector whose finite dimensional distributions and distribution of inner products are known

Published on 14 Nov 2018 - 15:22

score 196 · Answer 6 · 2018-11-15 11:19:02

196

Views

Weak* Convergence exercise

Published on 15 Nov 2018 - 11:19

score 43 · Answer 7 · 2018-11-15 18:23:31

43

Views

Weak convergence improved by Morrey embedding

Published on 15 Nov 2018 - 18:23

score 57 · Answer 8 · 2026-03-27 15:19:08

57

Views

An example of weakly convergent probability measures that do not form a family of relatively compact probability measures.

Published on 27 Mar 2026 - 15:19

score 388 · Answer 9 · 2018-11-22 00:07:28

388

Views

Rate of convergence in distribution

Published on 22 Nov 2018 - 0:07

score 49 · Answer 10 · 2018-11-25 07:43:37

49

Views

Prove $\{f\in L^\infty : \|f\|_\infty \leq 1- \epsilon\}$ for $\epsilon\in (0, 1)$ is $w^*$- closed

Published on 25 Nov 2018 - 7:43

score 80 · Answer 11 · 2018-11-27 08:45:43

80

Views

Weak convergence and pointwise convergence of norm

Published on 27 Nov 2018 - 8:45

score 366 · Answer 12 · 2026-03-28 08:09:37

366

Views

Weak convergence in closed subspace of a Hilbert Space

Published on 28 Mar 2026 - 8:09

score 34 · Answer 13 · 2018-11-27 21:30:26

34

Views

Convergence of third moments when second moments are uniformly bounded.

Published on 27 Nov 2018 - 21:30

score 70 · Answer 14 · 2026-03-25 20:09:31

70

Views

Central Limit Theorem - Different Forms

Published on 25 Mar 2026 - 20:09

score 31 · Answer 15 · 2018-11-29 19:03:10

31

Views

Push forward of measures and weak* converence

Published on 29 Nov 2018 - 19:03

List Question

Under what condition on the space X, any Continuous operator will be Completely continuous.

Weak convergence of $\frac{1}{n} \sum_{i = 1}^{n} \delta_{2 \cos(2 \pi k / n)}$ to $\frac{1}{\pi \sqrt{4 - x^2}} {\large\chi}_{|x|\leq 2} dx,$

Does $u'_k \to v$ weakly imply $u_k \to u$ weakly with $u' = v$?

How to prove this result somewhat similar to Du Bois-Reymond's Lemma?

Nature of Distribution of a Random Vector whose finite dimensional distributions and distribution of inner products are known

Weak* Convergence exercise

Weak convergence improved by Morrey embedding

An example of weakly convergent probability measures that do not form a family of relatively compact probability measures.

Rate of convergence in distribution

Prove $\{f\in L^\infty : \|f\|_\infty \leq 1- \epsilon\}$ for $\epsilon\in (0, 1)$ is $w^*$- closed

Weak convergence and pointwise convergence of norm

Weak convergence in closed subspace of a Hilbert Space

Convergence of third moments when second moments are uniformly bounded.

Central Limit Theorem - Different Forms

Push forward of measures and weak* converence

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