List questions from trace

Published on 06 Jan 2014 - 15:36

58

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$C$ Hermitian, show $\text{Tr}(C)=0 \iff \exists P,Q \text{ Hermitian s.t.} \,\, PQ-QP=iC$

Published on 06 Jan 2014 - 20:26

3.4k

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Notation for summing all elements under the diagonal of a square matrix

Published on 13 Jan 2014 - 0:08

99

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Equality of two traces

Published on 13 Jan 2014 - 12:34

1.5k

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Trace zero of a product of non square matrices

Published on 14 Jan 2014 - 12:58

1k

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Solving an equation involving a trace: find $X$ in $M=\mathrm{Tr}[CX]$

Published on 22 Jan 2014 - 18:57

1.3k

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The Trace Class Operators Form a Banach Space

Published on 25 Jan 2014 - 15:17

501

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trace , determinant and which of the following are true(NBHM-$2014$)

Published on 26 Jan 2014 - 2:24

1.2k

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Nilpotent matrices condition with traces

Published on 30 Jan 2014 - 2:22

13.6k

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Prove ${\rm tr}\ (AA^T)={\rm tr}\ (A^TA)$ for any Matrix $A$

Published on 30 Jan 2014 - 6:34

2.1k

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Determinant of a finite-dimensional matrix in terms of trace

Published on 08 Feb 2014 - 12:40

5.3k

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Calculating the trace of the product of two matrices

Published on 10 Feb 2014 - 21:07

5.9k

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Consider the trace map $M_n (\mathbb{R}) \to \mathbb{R}$. What is its kernel?

Published on 16 Feb 2014 - 13:54

1.9k

Views

Prove the matrix Holder inequality $|{\rm Tr}(DAB)|\le {\rm Tr}(D|A|^p)^{1/p} {\rm Tr}(D|B|^q)^{1/q}$

Published on 21 Feb 2014 - 14:31

100

Views

Trace defined in terms of integral averages

Published on 03 Mar 2014 - 11:25

List Question

Can functionals be independent?

$C$ Hermitian, show $\text{Tr}(C)=0 \iff \exists P,Q \text{ Hermitian s.t.} \,\, PQ-QP=iC$

Notation for summing all elements under the diagonal of a square matrix

Equality of two traces

Trace zero of a product of non square matrices

Solving an equation involving a trace: find $X$ in $M=\mathrm{Tr}[CX]$

The Trace Class Operators Form a Banach Space

trace , determinant and which of the following are true(NBHM-$2014$)

Nilpotent matrices condition with traces

Prove ${\rm tr}\ (AA^T)={\rm tr}\ (A^TA)$ for any Matrix $A$

Determinant of a finite-dimensional matrix in terms of trace

Calculating the trace of the product of two matrices

Consider the trace map $M_n (\mathbb{R}) \to \mathbb{R}$. What is its kernel?

Prove the matrix Holder inequality $|{\rm Tr}(DAB)|\le {\rm Tr}(D|A|^p)^{1/p} {\rm Tr}(D|B|^q)^{1/q}$

Trace defined in terms of integral averages

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