Question

Trouble proving outer regularity of measure in proof of the multiplication version of the spectral theorem in Dunford & Schwartz

score 91 · Answer 1 · 2026-03-30 11:04:50

91

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Trouble proving outer regularity of measure in proof of the multiplication version of the spectral theorem in Dunford & Schwartz

Published on 30 Mar 2026 - 11:04

score 54 · Answer 2 · 2020-07-12 03:53:34

54

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Is $E[\Vert W_v-W_\xi \Vert^6\big]<\infty?$

Published on 12 Jul 2020 - 3:53

score 332 · Answer 3 · 2026-03-30 05:12:08

332

Views

(Weak convergence $\implies$ strong convergence) $\implies \mathcal{H}$ finite-dimensional

Published on 30 Mar 2026 - 5:12

score 138 · Answer 4 · 2026-04-03 08:02:21

138

Views

What does the space $C^2([0,T]; H^2(\Omega))$ mean?

Published on 03 Apr 2026 - 8:02

score 194 · Answer 5 · 2026-03-28 03:34:55

194

Views

Strengthened Cauchy-Schwarz and direct sum

Published on 28 Mar 2026 - 3:34

score 51 · Answer 6 · 2026-03-30 11:04:09

51

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Looking for counterexample to outer regularity of the measure in Dunford & Schwartz X.5.4.

Published on 30 Mar 2026 - 11:04

score 1.3k · Answer 7 · 2026-04-05 18:27:21

1.3k

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Proving: $x = a_0 + \sum_{n=1}^{\infty}(a_n \cos nx + b_n \sin nx)$

Published on 05 Apr 2026 - 18:27

score 599 · Answer 8 · 2026-03-25 11:20:17

599

Views

Why we need to mention the scalar product of $\cos (nx), \sin (nx)$?

Published on 25 Mar 2026 - 11:20

score 236 · Answer 9 · 2026-03-27 07:50:39

236

Views

Is the set of monotone functions $f:[a,b] \to [0,1]$ compact in $L^2([a,b])$?

Published on 27 Mar 2026 - 7:50

score 65 · Answer 10 · 2026-03-30 05:13:11

65

Views

Extending a result of the real-case to the complex-case in a Hilbert space.

Published on 30 Mar 2026 - 5:13

score 109 · Answer 11 · 2020-07-17 16:09:11

109

Views

Is this Hilbert space construction legal?

Published on 17 Jul 2020 - 16:09

score 24 · Answer 12 · 2020-07-18 11:48:38

24

Views

Prove that $\text{Re} B(\mathcal{H})=\{T\in B(\mathcal{H}): T=T^* \}$ is WOT closed in $B(\mathcal{H})$

Published on 18 Jul 2020 - 11:48

score 233 · Answer 13 · 2026-04-08 00:27:23

233

Views

Proof of (8.50) in the book Advanced Functional Analysis

Published on 08 Apr 2026 - 0:27

score 52 · Answer 14 · 2026-03-26 14:32:02

52

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If a Hilbert space is linearly isometric to a Banach space, will the Banach space be a Hilbert space?

Published on 26 Mar 2026 - 14:32

score 54 · Answer 15 · 2026-03-29 12:40:33

54

Views

Estimate for the solution of the wave equation

Published on 29 Mar 2026 - 12:40

List Question

Trouble proving outer regularity of measure in proof of the multiplication version of the spectral theorem in Dunford & Schwartz

Is $E[\Vert W_v-W_\xi \Vert^6\big]<\infty?$

(Weak convergence $\implies$ strong convergence) $\implies \mathcal{H}$ finite-dimensional

What does the space $C^2([0,T]; H^2(\Omega))$ mean?

Strengthened Cauchy-Schwarz and direct sum

Looking for counterexample to outer regularity of the measure in Dunford & Schwartz X.5.4.

Proving: $x = a_0 + \sum_{n=1}^{\infty}(a_n \cos nx + b_n \sin nx)$

Why we need to mention the scalar product of $\cos (nx), \sin (nx)$?

Is the set of monotone functions $f:[a,b] \to [0,1]$ compact in $L^2([a,b])$?

Extending a result of the real-case to the complex-case in a Hilbert space.

Is this Hilbert space construction legal?

Prove that $\text{Re} B(\mathcal{H})=\{T\in B(\mathcal{H}): T=T^* \}$ is WOT closed in $B(\mathcal{H})$

Proof of (8.50) in the book Advanced Functional Analysis

If a Hilbert space is linearly isometric to a Banach space, will the Banach space be a Hilbert space?

Estimate for the solution of the wave equation

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