Question

Unit vector and commutator $\left[ S_zB_z,S_x \hat{x} \right]-\left[S_y \hat{y},S_zB_z \right]+\left[ S_zB_z,S_z \hat{z} \right]$

score 57 · Answer 1 · 2018-06-12 12:08:25

57

Views

Unit vector and commutator $\left[ S_zB_z,S_x \hat{x} \right]-\left[S_y \hat{y},S_zB_z \right]+\left[ S_zB_z,S_z \hat{z} \right]$

Published on 12 Jun 2018 - 12:08

score 46 · Answer 2 · 2018-06-12 15:41:14

46

Views

Regularity of restricted function

Published on 12 Jun 2018 - 15:41

score 78 · Answer 3 · 2018-06-12 17:36:32

78

Views

Why is the span of $\{e_1 - e_2, e_2 - e_3, \cdots \}$ dense in $\mathcal{l}^2$?

Published on 12 Jun 2018 - 17:36

score 143 · Answer 4 · 2018-06-13 03:56:24

143

Views

If complementary subspaces are almost orthogonal, is the same true for their orthogonal complements?

Published on 13 Jun 2018 - 3:56

score 307 · Answer 5 · 2026-03-25 19:10:24

307

Views

Conditions for the Validity of the "First Resolvent Identity" a.k.a. "Resolvent Equation"

Published on 25 Mar 2026 - 19:10

score 126 · Answer 6 · 2026-03-26 02:54:26

126

Views

Do unitary transformations on Hilbert spaces preserve unconditional convergence?

Published on 26 Mar 2026 - 2:54

score 247 · Answer 7 · 2018-06-15 09:40:14

247

Views

Hilbert basis - Alternative definition with infinite linear combinations

Published on 15 Jun 2018 - 9:40

score 147 · Answer 8 · 2018-06-15 17:10:40

147

Views

Properties of functional $F: W_{2}^{1} \to \mathbb{C}$, $ F(f) = f(0)$

Published on 15 Jun 2018 - 17:10

score 435 · Answer 9 · 2018-06-15 17:53:21

435

Views

$A$ has finite rank implies $A^$ has finite rank. Also $A$ compact implies $A^$ compact.

Published on 15 Jun 2018 - 17:53

score 143 · Answer 10 · 2018-06-15 18:49:14

143

Views

A simple inequality arising from the "negativeness" of Euclidean spaces

Published on 15 Jun 2018 - 18:49

score 6.2k · Answer 11 · 2018-06-17 00:08:18

6.2k

Views

Clarification: Is it true trace of $(A^TA)$ is induced matrix norm squared?

Published on 17 Jun 2018 - 0:08

score 245 · Answer 12 · 2018-06-17 07:23:37

245

Views

2 Riesz Representation Theorems in Hilbert space

Published on 17 Jun 2018 - 7:23

score 68 · Answer 13 · 2018-06-18 14:00:48

68

Views

On a property of conditional expectation when the random variable is multivariate Normal.

Published on 18 Jun 2018 - 14:00

score 27 · Answer 14 · 2018-06-19 14:13:09

27

Views

Uniformity of a weak limit

Published on 19 Jun 2018 - 14:13

score 41 · Answer 15 · 2026-03-26 14:34:53

41

Views

Is $|f(y_1)-f(y_2)|\leqslant||f||||y_1-y_2||$ true in a Banach space?

Published on 26 Mar 2026 - 14:34

List Question

Unit vector and commutator $\left[ S_zB_z,S_x \hat{x} \right]-\left[S_y \hat{y},S_zB_z \right]+\left[ S_zB_z,S_z \hat{z} \right]$

Regularity of restricted function

Why is the span of $\{e_1 - e_2, e_2 - e_3, \cdots \}$ dense in $\mathcal{l}^2$?

If complementary subspaces are almost orthogonal, is the same true for their orthogonal complements?

Conditions for the Validity of the "First Resolvent Identity" a.k.a. "Resolvent Equation"

Do unitary transformations on Hilbert spaces preserve unconditional convergence?

Hilbert basis - Alternative definition with infinite linear combinations

Properties of functional $F: W_{2}^{1} \to \mathbb{C}$, $ F(f) = f(0)$

$A$ has finite rank implies $A^$ has finite rank. Also $A$ compact implies $A^$ compact.

A simple inequality arising from the "negativeness" of Euclidean spaces

Clarification: Is it true trace of $(A^TA)$ is induced matrix norm squared?

2 Riesz Representation Theorems in Hilbert space

On a property of conditional expectation when the random variable is multivariate Normal.

Uniformity of a weak limit

Is $|f(y_1)-f(y_2)|\leqslant||f||||y_1-y_2||$ true in a Banach space?

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