Question

Trace of off-diagonal blocks of a positive semidefinite matrix

score 135 · Answer 1 · 2026-03-26 22:15:17

135

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Trace of off-diagonal blocks of a positive semidefinite matrix

Published on 26 Mar 2026 - 22:15

score 79 · Answer 2 · 2026-03-28 06:48:15

79

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Using $(e^{ik\cdot x})$ as an orthonormal basis for $L^2(\mathbb{R}^d;\mathbb{C})$ to define trace.

Published on 28 Mar 2026 - 6:48

score 59 · Answer 3 · 2023-04-01 14:24:04

59

Views

In what sense is $\breve{g}(x-y)/(2\pi)^n$ the integral kernel of $g(-i\nabla)$?

Published on 01 Apr 2023 - 14:24

score 27 · Answer 4 · 2026-03-29 09:09:34

27

Views

Can the minima in this trace optimization be characterised?

Published on 29 Mar 2026 - 9:09

score 118 · Answer 5 · 2026-03-26 01:14:36

118

Views

Derivative of $A^x$ w.r.t $x$ inside Trace Operation

Published on 26 Mar 2026 - 1:14

score 50 · Answer 6 · 2023-04-04 14:24:13

50

Views

Is $\langle x,Ax\rangle\leq \langle x,|A|x\rangle$ in a complex Hilbert space for compact $A$?

Published on 04 Apr 2023 - 14:24

score 89 · Answer 7 · 2023-04-04 14:56:40

89

Views

If $0\leq A\leq B$ then does $0\leq A^2\leq B^2$?

Published on 04 Apr 2023 - 14:56

score 31 · Answer 8 · 2023-04-04 15:37:57

31

Views

Is it true that $|AQA|\leq A|Q|A$ if $A,Q$ are compact self-adjoint operators with $A\geq 0$?

Published on 04 Apr 2023 - 15:37

score 72 · Answer 9 · 2023-04-04 17:11:27

72

Views

If $0\leq A\leq B$ then does $0\leq A^{\frac{1}{2}}\leq B^{\frac{1}{2}}$?

Published on 04 Apr 2023 - 17:11

score 63 · Answer 10 · 2026-03-26 12:06:33

63

Views

Frobenius Norm confusion on Hermitian and Transpose on matrix form

Published on 26 Mar 2026 - 12:06

score 182 · Answer 11 · 2023-04-20 15:37:53

182

Views

Trace inequality for $\operatorname{Tr}(ABAB)$?

Published on 20 Apr 2023 - 15:37

score 72 · Answer 12 · 2026-03-27 08:55:59

72

Views

A multi-dimensional integral involving products of Dirac delta functions.

Published on 27 Mar 2026 - 8:55

score 124 · Answer 13 · 2023-04-26 05:39:01

124

Views

Trace of Product of two PSD matrices

Published on 26 Apr 2023 - 5:39

score 89 · Answer 14 · 2026-03-25 14:35:52

89

Views

$A$ is a square matrix of order $2$ with real entries and ${\rm Tr}(A)+|A|=2$. Show that $|A^2+|A|\cdot A+{\rm Tr}(A)I_2|\geq 4$

Published on 25 Mar 2026 - 14:35

score 43 · Answer 15 · 2023-04-29 13:47:40

43

Views

Trace of a matrix valued operator on the Hilbert space $L^2(R)\otimes L^2(R)$

Published on 29 Apr 2023 - 13:47

List Question

Trace of off-diagonal blocks of a positive semidefinite matrix

Using $(e^{ik\cdot x})$ as an orthonormal basis for $L^2(\mathbb{R}^d;\mathbb{C})$ to define trace.

In what sense is $\breve{g}(x-y)/(2\pi)^n$ the integral kernel of $g(-i\nabla)$?

Can the minima in this trace optimization be characterised?

Derivative of $A^x$ w.r.t $x$ inside Trace Operation

Is $\langle x,Ax\rangle\leq \langle x,|A|x\rangle$ in a complex Hilbert space for compact $A$?

If $0\leq A\leq B$ then does $0\leq A^2\leq B^2$?

Is it true that $|AQA|\leq A|Q|A$ if $A,Q$ are compact self-adjoint operators with $A\geq 0$?

If $0\leq A\leq B$ then does $0\leq A^{\frac{1}{2}}\leq B^{\frac{1}{2}}$?

Frobenius Norm confusion on Hermitian and Transpose on matrix form

Trace inequality for $\operatorname{Tr}(ABAB)$?

A multi-dimensional integral involving products of Dirac delta functions.

Trace of Product of two PSD matrices

$A$ is a square matrix of order $2$ with real entries and ${\rm Tr}(A)+|A|=2$. Show that $|A^2+|A|\cdot A+{\rm Tr}(A)I_2|\geq 4$

Trace of a matrix valued operator on the Hilbert space $L^2(R)\otimes L^2(R)$

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