Question

Characterization of orthonomal maximal systems in a Hilbert space

score 33 · Answer 1 · 2026-03-27 07:49:12

33

Views

Characterization of orthonomal maximal systems in a Hilbert space

Published on 27 Mar 2026 - 7:49

score 911 · Answer 2 · 2026-03-27 10:08:25

911

Views

Adjoint of integral operator

Published on 27 Mar 2026 - 10:08

score 36 · Answer 3 · 2026-03-27 03:44:28

36

Views

$\text{Image}(I−K)(V) = \{x−Kx; x \in V \text{closed} \}$ is a closed subspace of hilbert space $H$.

Published on 27 Mar 2026 - 3:44

score 154 · Answer 4 · 2026-03-25 05:06:44

154

Views

Hermite Polynomials are orthonormal basis for $L(\mathbb{R})$

Published on 25 Mar 2026 - 5:06

score 35 · Answer 5 · 2026-03-27 03:49:37

35

Views

If $A=\sum_{i\in I}\lambda_ie_i\otimes e_i$ is compact, self-adjoint and nonnegative, then $\left\|A\right\|=\lambda_1$

Published on 27 Mar 2026 - 3:49

score 42 · Answer 6 · 2020-05-03 09:16:56

42

Views

If $A_n$ is a sequence of self-adjoint nonnegative operators with $\limsup_{n\to\infty}\frac{\ln\left\|A_n\right\|}n\le0$, does $|A_n|^{-n}$ converge?

Published on 03 May 2020 - 9:16

score 24 · Answer 7 · 2026-04-01 07:20:40

24

Views

$M(\rho)=\operatorname{Tr}_2\left(\ U\ \rho\otimes\rho_2\ U^{\dagger}\right)$is unitary $\iff\ U=U_1\otimes U_2$, a product of $2$ unitary operators?

Published on 01 Apr 2026 - 7:20

score 42 · Answer 8 · 2026-03-29 20:21:47

42

Views

If $U$ is spanned by $e_1,\ldots,e_k$ and $V$ is a subspace with $U^\perp\cap V=\emptyset$, then $v=e_k+w$ for some $v\in V$ and $w\in U^\perp$

Published on 29 Mar 2026 - 20:21

score 82 · Answer 9 · 2026-03-27 10:09:36

82

Views

Question concerning proof of unique existence of adjoint operator

Published on 27 Mar 2026 - 10:09

score 55 · Answer 10 · 2020-05-03 22:55:52

55

Views

An Hilbert space problem

Published on 03 May 2020 - 22:55

score 64 · Answer 11 · 2026-03-25 05:09:48

64

Views

Well-defined sum on Schauder-basis of Hilbert space

Published on 25 Mar 2026 - 5:09

score 125 · Answer 12 · 2020-05-04 16:19:43

125

Views

Properties of bounded, linear, self-adjoint operator on hilbert space.

Published on 04 May 2020 - 16:19

score 119 · Answer 13 · 2026-04-03 11:59:52

119

Views

Distance to the kernel of a functional in Hilbert space

Published on 03 Apr 2026 - 11:59

score 61 · Answer 14 · 2026-03-29 22:06:47

61

Views

Conclude operator convergence from convergence of the eigenspaces

Published on 29 Mar 2026 - 22:06

score 258 · Answer 15 · 2026-03-29 22:14:41

258

Views

Spectrum of restriction to invariant subspace

Published on 29 Mar 2026 - 22:14

List Question

Characterization of orthonomal maximal systems in a Hilbert space

Adjoint of integral operator

$\text{Image}(I−K)(V) = \{x−Kx; x \in V \text{closed} \}$ is a closed subspace of hilbert space $H$.

Hermite Polynomials are orthonormal basis for $L(\mathbb{R})$

If $A=\sum_{i\in I}\lambda_ie_i\otimes e_i$ is compact, self-adjoint and nonnegative, then $\left\|A\right\|=\lambda_1$

If $A_n$ is a sequence of self-adjoint nonnegative operators with $\limsup_{n\to\infty}\frac{\ln\left\|A_n\right\|}n\le0$, does $|A_n|^{-n}$ converge?

$M(\rho)=\operatorname{Tr}_2\left(\ U\ \rho\otimes\rho_2\ U^{\dagger}\right)$is unitary $\iff\ U=U_1\otimes U_2$, a product of $2$ unitary operators?

If $U$ is spanned by $e_1,\ldots,e_k$ and $V$ is a subspace with $U^\perp\cap V=\emptyset$, then $v=e_k+w$ for some $v\in V$ and $w\in U^\perp$

Question concerning proof of unique existence of adjoint operator

An Hilbert space problem

Well-defined sum on Schauder-basis of Hilbert space

Properties of bounded, linear, self-adjoint operator on hilbert space.

Distance to the kernel of a functional in Hilbert space

Conclude operator convergence from convergence of the eigenspaces

Spectrum of restriction to invariant subspace

Trending Questions

Popular # Hahtags

Popular Questions