Question

How to prove that inequality for every $f\in C^\infty_0(\Bbb{R})$.

score 102 · Answer 1 · 2026-03-20 05:38:05

102

Views

How to prove that inequality for every $f\in C^\infty_0(\Bbb{R})$.

Published on 20 Mar 2026 - 5:38

score 31 · Answer 2 · 2026-03-24 04:18:13

31

Views

Necessary condition for Hermician lin operators

Published on 24 Mar 2026 - 4:18

score 227 · Answer 3 · 2026-03-22 02:48:03

227

Views

Is it true that a functor from a locally small category with a left adjoint is representable?

Published on 22 Mar 2026 - 2:48

score 161 · Answer 4 · 2026-03-19 20:20:07

161

Views

Showing that these inner product induced norms are equivalent

Published on 19 Mar 2026 - 20:20

score 1.9k · Answer 5 · 2026-03-20 15:55:46

1.9k

Views

Do unitarily equivalent operators have the same spectrum?

Published on 20 Mar 2026 - 15:55

score 149 · Answer 6 · 2026-03-25 07:05:17

149

Views

Showing that $\inf_{\|x\|=1}\langle Tx,x\rangle$ and $\sup_{\|x\|=1}\langle Tx,x\rangle$ are eigenvalues of $T$ (in particular when they are $0$)

Published on 25 Mar 2026 - 7:05

score 58 · Answer 7 · 2026-03-25 07:02:02

58

Views

Let $T:\mathbb C^3\to\mathbb C^3$.Then, adjoint $T^*$ of $T$

Published on 25 Mar 2026 - 7:02

score 357 · Answer 8 · 2026-03-23 22:27:18

357

Views

Role of the interval for defining inner product and boundary conditions in Sturm Liouville problems.

Published on 23 Mar 2026 - 22:27

score 242 · Answer 9 · 2026-03-22 19:36:59

242

Views

Checking the well-definedness of an adjoint operator

Published on 22 Mar 2026 - 19:36

score 466 · Answer 10 · 2026-03-22 06:00:25

466

Views

Either a self-adjoint operator has $n$ eigenvector or not at all

Published on 22 Mar 2026 - 6:00

score 171 · Answer 11 · 2026-03-25 07:08:27

171

Views

Problems with adjoint operator

Published on 25 Mar 2026 - 7:08

score 218 · Answer 12 · 2026-03-25 06:39:35

218

Views

Prove that a regular $\phi : E \to E$ can be uniquely decomposed as a composition of self-adjoint map and a rotation(Unitary trick of Weyl)

Published on 25 Mar 2026 - 6:39

score 326 · Answer 13 · 2026-03-20 03:17:21

326

Views

weak operator topology convergence and the trace of spectral projections

Published on 20 Mar 2026 - 3:17

score 112 · Answer 14 · 2026-03-21 18:19:50

112

Views

For any $\phi$, is $\phi$ self-adjoint on $E_{\lambda_1} \oplus E_{\lambda_2} \oplus...\oplus E_{\lambda_k}$ if $\phi$ stable on $T$

Published on 21 Mar 2026 - 18:19

score 75 · Answer 15 · 2026-03-25 06:17:53

75

Views

Spectral Theorem for bounded selfadjoint operators

Published on 25 Mar 2026 - 6:17

List Question

How to prove that inequality for every $f\in C^\infty_0(\Bbb{R})$.

Necessary condition for Hermician lin operators

Is it true that a functor from a locally small category with a left adjoint is representable?

Showing that these inner product induced norms are equivalent

Do unitarily equivalent operators have the same spectrum?

Showing that $\inf_{\|x\|=1}\langle Tx,x\rangle$ and $\sup_{\|x\|=1}\langle Tx,x\rangle$ are eigenvalues of $T$ (in particular when they are $0$)

Let $T:\mathbb C^3\to\mathbb C^3$.Then, adjoint $T^*$ of $T$

Role of the interval for defining inner product and boundary conditions in Sturm Liouville problems.

Checking the well-definedness of an adjoint operator

Either a self-adjoint operator has $n$ eigenvector or not at all

Problems with adjoint operator

Prove that a regular $\phi : E \to E$ can be uniquely decomposed as a composition of self-adjoint map and a rotation(Unitary trick of Weyl)

weak operator topology convergence and the trace of spectral projections

For any $\phi$, is $\phi$ self-adjoint on $E_{\lambda_1} \oplus E_{\lambda_2} \oplus...\oplus E_{\lambda_k}$ if $\phi$ stable on $T$

Spectral Theorem for bounded selfadjoint operators

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