Question

How to calculate adjoint operator in Hilbert space.

score 22 · Answer 1 · 2020-04-14 08:13:14

22

Views

How to calculate adjoint operator in Hilbert space.

Published on 14 Apr 2020 - 8:13

score 201 · Answer 2 · 2026-03-29 16:55:52

201

Views

Vector bundles as Hilbert-C*-modules

Published on 29 Mar 2026 - 16:55

score 893 · Answer 3 · 2026-03-26 14:19:39

893

Views

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Published on 26 Mar 2026 - 14:19

score 576 · Answer 4 · 2020-04-15 01:59:55

Countable sum of orthogonal projections with orthogonal ranges; uniformly bounded monotone sequence of self-adjoint operators is strongly convergent

score 52 · Answer 5 · 2026-03-26 14:32:02

52

Views

Open neighborhoods in the set of $K=\prod_1^{\infty}\{0,1\}$

Published on 26 Mar 2026 - 14:32

score 38 · Answer 6 · 2026-03-28 20:05:41

38

Views

Cauchy sequences depending on the metric

Published on 28 Mar 2026 - 20:05

score 277 · Answer 7 · 2026-03-29 06:30:17

277

Views

Possible significant error in proof of the spectral theorem, Brian C Hall, Quantum Theory for Mathematicians

Published on 29 Mar 2026 - 6:30

score 27 · Answer 8 · 2026-04-07 02:24:02

27

Views

If $(S_{n}x,y)\to(Sx,y)$ and $(T_{n}x,y)\to(Tx,y)$ for all $x,y\in H$, then $(S_{n}T_{n}x,y)\to(STx,y)$ for all $x,y\in H$.

Published on 07 Apr 2026 - 2:24

score 88 · Answer 9 · 2020-04-16 16:41:08

88

Views

Spectral subspace is nontrivial iff it has a non-trivial intersection with an invariant closed subspace

Published on 16 Apr 2020 - 16:41

score 159 · Answer 10 · 2026-03-25 23:42:18

159

Views

If $H$ Hilbert and $(P_k)$ is a sequence of orthogonal projections in $B(H)$, then $0$ is in weak closure of $\{\sqrt{k}P_k:k\in\mathbb{N}\}$

Published on 25 Mar 2026 - 23:42

score 33 · Answer 11 · 2026-02-23 14:13:17

33

Views

Let $B_nx=x(t-\frac{1}{n})\in L^2(\mathbb{R})$. Show that $B_n\overset{s}{\to}Id$ but $B_n\not\rightrightarrows Id$

Published on 23 Feb 2026 - 14:13

score 716 · Answer 12 · 2026-03-29 06:29:10

716

Views

Nielsen & Chuang, exercise 2.73 — Density matrix proving the minimum ensemble

Published on 29 Mar 2026 - 6:29

score 82 · Answer 13 · 2020-04-17 23:45:26

82

Views

Is the proof of those 2 questions the same?

Published on 17 Apr 2020 - 23:45

score 209 · Answer 14 · 2026-03-25 06:07:08

209

Views

Spectrum of the operator $T \in \mathcal{L}(L^2(\Bbb{R}_+))$ defined by $(Tf)(x)=(1−e^{−x})f(x)$

Published on 25 Mar 2026 - 6:07

score 197 · Answer 15 · 2020-04-18 11:20:07

197

Views

Weak convergence of unitary operators on a dense subset.

Published on 18 Apr 2020 - 11:20

List Question

How to calculate adjoint operator in Hilbert space.

Vector bundles as Hilbert-C*-modules

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Countable sum of orthogonal projections with orthogonal ranges; uniformly bounded monotone sequence of self-adjoint operators is strongly convergent

Open neighborhoods in the set of $K=\prod_1^{\infty}\{0,1\}$

Cauchy sequences depending on the metric

Possible significant error in proof of the spectral theorem, Brian C Hall, Quantum Theory for Mathematicians

If $(S_{n}x,y)\to(Sx,y)$ and $(T_{n}x,y)\to(Tx,y)$ for all $x,y\in H$, then $(S_{n}T_{n}x,y)\to(STx,y)$ for all $x,y\in H$.

Spectral subspace is nontrivial iff it has a non-trivial intersection with an invariant closed subspace

If $H$ Hilbert and $(P_k)$ is a sequence of orthogonal projections in $B(H)$, then $0$ is in weak closure of $\{\sqrt{k}P_k:k\in\mathbb{N}\}$

Let $B_nx=x(t-\frac{1}{n})\in L^2(\mathbb{R})$. Show that $B_n\overset{s}{\to}Id$ but $B_n\not\rightrightarrows Id$

Nielsen & Chuang, exercise 2.73 — Density matrix proving the minimum ensemble

Is the proof of those 2 questions the same?

Spectrum of the operator $T \in \mathcal{L}(L^2(\Bbb{R}_+))$ defined by $(Tf)(x)=(1−e^{−x})f(x)$

Weak convergence of unitary operators on a dense subset.

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