Question

Construct a convergence graph for operators and functionals (what follows from what)

score 57 · Answer 1 · 2026-02-23 15:48:06

57

Views

Construct a convergence graph for operators and functionals (what follows from what)

Published on 23 Feb 2026 - 15:48

score 60 · Answer 2 · 2026-02-23 15:45:10

60

Views

Difference between weak and strong convergence

Published on 23 Feb 2026 - 15:45

score 121 · Answer 3 · 2026-02-23 15:46:54

121

Views

Confusion about weak and strong convergence

Published on 23 Feb 2026 - 15:46

score 88 · Answer 4 · 2026-02-23 15:46:07

88

Views

Weak convergence implies strong convergence?

Published on 23 Feb 2026 - 15:46

score 55 · Answer 5 · 2026-04-09 17:13:29

55

Views

Strong consistency of kernel density estimator

Published on 09 Apr 2026 - 17:13

score 38 · Answer 6 · 2026-02-23 15:48:43

38

Views

GNS-representation corresponding to a strongly continuous functional is strongly continuous on a bounded set

Published on 23 Feb 2026 - 15:48

score 60 · Answer 7 · 2026-02-23 15:56:05

60

Views

Relationship between strong and weak operator topologies

Published on 23 Feb 2026 - 15:56

score 50 · Answer 8 · 2026-02-23 15:53:58

50

Views

Equivalence of strong operator and weak operator convergence for a sequence of orthoprojectors

Published on 23 Feb 2026 - 15:53

score 55 · Answer 9 · 2026-02-23 15:48:53

55

Views

Understanding example of weak convergence does not imply strong convergence

Published on 23 Feb 2026 - 15:48

score 35 · Answer 10 · 2026-02-23 15:56:05

35

Views

random variable converging almost surely to zero times a random variable with bounded moments

Published on 23 Feb 2026 - 15:56

score 15 · Answer 11 · 2026-02-23 15:49:51

15

Views

almost sure convergence of positive random variables with bounded expectation implies uniform integrability?

Published on 23 Feb 2026 - 15:49

score 204 · Answer 12 · 2026-02-23 15:53:31

204

Views

Show that $S_n \to S $(weakly) and $T_n \to T$ strongly implies $S_nT_n \to ST$ weakly

Published on 23 Feb 2026 - 15:53

score 68 · Answer 13 · 2026-02-23 15:54:55

68

Views

For $\{T_n\}$ and $T$ positive and self-adjoint, show $T_n \stackrel{SR}{\to} T$ iff $(T_n + I)^{-1} \stackrel {s}{\to} (T + I)^{-1}$

Published on 23 Feb 2026 - 15:54

score 70 · Answer 14 · 2026-03-29 23:18:56

70

Views

Strong Convergence of Fredholm Operators, as used in Callias' proof of his index theorem

Published on 29 Mar 2026 - 23:18

score 227 · Answer 15 · 2026-04-05 18:40:26

227

Views

Weakly convergent series

Published on 05 Apr 2026 - 18:40

List Question

Construct a convergence graph for operators and functionals (what follows from what)

Difference between weak and strong convergence

Confusion about weak and strong convergence

Weak convergence implies strong convergence?

Strong consistency of kernel density estimator

GNS-representation corresponding to a strongly continuous functional is strongly continuous on a bounded set

Relationship between strong and weak operator topologies

Equivalence of strong operator and weak operator convergence for a sequence of orthoprojectors

Understanding example of weak convergence does not imply strong convergence

random variable converging almost surely to zero times a random variable with bounded moments

almost sure convergence of positive random variables with bounded expectation implies uniform integrability?

Show that $S_n \to S $(weakly) and $T_n \to T$ strongly implies $S_nT_n \to ST$ weakly

For $\{T_n\}$ and $T$ positive and self-adjoint, show $T_n \stackrel{SR}{\to} T$ iff $(T_n + I)^{-1} \stackrel {s}{\to} (T + I)^{-1}$

Strong Convergence of Fredholm Operators, as used in Callias' proof of his index theorem

Weakly convergent series

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