Question

$f_n \rightharpoonup f$, $g_n \to g$ in measure, $\|g_n\|_{L^\infty} \leq M$, then $f_n g_n \rightharpoonup fg$,

score 603 · Answer 1 · 2018-06-30 02:29:15

603

Views

$f_n \rightharpoonup f$, $g_n \to g$ in measure, $\|g_n\|_{L^\infty} \leq M$, then $f_n g_n \rightharpoonup fg$,

Published on 30 Jun 2018 - 2:29

score 137 · Answer 2 · 2018-06-30 21:47:58

137

Views

If $\phi: [0,\, 1] \to X $ be a sequentially weakly continuous, then $f(t) = \|φ(t)\| $ is bounded

Published on 30 Jun 2018 - 21:47

score 125 · Answer 3 · 2026-03-23 03:13:19

125

Views

Bounded sequence has Cauchy subsequence w.r.t. $ (x|y)_0:=\sum^\infty_{n=1} 2^{-n}\phi_n(x)\phi_n(y).$

Published on 23 Mar 2026 - 3:13

score 746 · Answer 4 · 2026-03-22 04:24:48

746

Views

Rate of weak convergence of sin(nx)

Published on 22 Mar 2026 - 4:24

score 142 · Answer 5 · 2018-07-07 20:35:33

142

Views

Can we prove the weak convergence of sequence bounded by another weakly convergence sequence?

Published on 07 Jul 2018 - 20:35

score 156 · Answer 6 · 2026-03-22 07:10:10

156

Views

weak convergence, relative compactness

Published on 22 Mar 2026 - 7:10

score 114 · Answer 7 · 2018-07-11 22:34:23

114

Views

weak convergence of composition

Published on 11 Jul 2018 - 22:34

score 69 · Answer 8 · 2026-03-22 09:22:11

69

Views

Why $\frac{\varepsilon}{x^2+\varepsilon^2}$ converges in the sense of distributions to a constant times the Dirac delta

Published on 22 Mar 2026 - 9:22

score 2.7k · Answer 9 · 2018-07-13 21:33:05

2.7k

Views

Weak convergence implies stochastic boundedness

Published on 13 Jul 2018 - 21:33

score 560 · Answer 10 · 2026-03-25 06:10:13

560

Views

Do operators from $L(X', Y')$ preserve weak*-convergence?

Published on 25 Mar 2026 - 6:10

score 384 · Answer 11 · 2026-03-23 07:14:28

384

Views

Is the topology of weak convergence of probability measures first-countable?

Published on 23 Mar 2026 - 7:14

score 73 · Answer 12 · 2018-07-20 10:46:20

73

Views

Weak$^*$ convergence, uniformly on compacta

Published on 20 Jul 2018 - 10:46

score 85 · Answer 13 · 2026-03-25 15:52:43

85

Views

Is it possible to extend the notion of $H$-convergence to the case of distributions?

Published on 25 Mar 2026 - 15:52

score 465 · Answer 14 · 2026-03-20 10:58:30

465

Views

Understanding the proof of the Concentration-Compactness principle

Published on 20 Mar 2026 - 10:58

score 42 · Answer 15 · 2026-03-25 13:57:55

42

Views

Relatively compactness of uniformly limited measures in variation w.r.t. weak convergence

Published on 25 Mar 2026 - 13:57

List Question

$f_n \rightharpoonup f$, $g_n \to g$ in measure, $\|g_n\|_{L^\infty} \leq M$, then $f_n g_n \rightharpoonup fg$,

If $\phi: [0,\, 1] \to X $ be a sequentially weakly continuous, then $f(t) = \|φ(t)\| $ is bounded

Bounded sequence has Cauchy subsequence w.r.t. $ (x|y)_0:=\sum^\infty_{n=1} 2^{-n}\phi_n(x)\phi_n(y).$

Rate of weak convergence of sin(nx)

Can we prove the weak convergence of sequence bounded by another weakly convergence sequence?

weak convergence, relative compactness

weak convergence of composition

Why $\frac{\varepsilon}{x^2+\varepsilon^2}$ converges in the sense of distributions to a constant times the Dirac delta

Weak convergence implies stochastic boundedness

Do operators from $L(X', Y')$ preserve weak*-convergence?

Is the topology of weak convergence of probability measures first-countable?

Weak$^*$ convergence, uniformly on compacta

Is it possible to extend the notion of $H$-convergence to the case of distributions?

Understanding the proof of the Concentration-Compactness principle

Relatively compactness of uniformly limited measures in variation w.r.t. weak convergence

Trending Questions

Popular # Hahtags

Popular Questions