On $s$ numbers in finite vN algebra The Next CEO of Stack OverflowConcrete representation of the annihilating algebraSome questions about Cuntz’s proof of the $ K_1 $-injectivity of purely infinite simple unital $ C^* $-algebrasfinite projection in semifinite von Neumann algebraAtomic projection in $W^*$-algebraFinite von-Neumann algebraSome general question on von Neumann algebraCountable decomposable von Neumann algebraMonic projections in finite von Neumann algebraFinite dimensional von Neumann algebraconnection between unital $C^*$ algebra and finite von neumann algebra
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On $s$ numbers in finite vN algebra
The Next CEO of Stack OverflowConcrete representation of the annihilating algebraSome questions about Cuntz’s proof of the $ K_1 $-injectivity of purely infinite simple unital $ C^* $-algebrasfinite projection in semifinite von Neumann algebraAtomic projection in $W^*$-algebraFinite von-Neumann algebraSome general question on von Neumann algebraCountable decomposable von Neumann algebraMonic projections in finite von Neumann algebraFinite dimensional von Neumann algebraconnection between unital $C^*$ algebra and finite von neumann algebra
$begingroup$
$T$ is an operator in $M$, $M$ is finite von Neumann algebra. There is a notion of singular value function that is ($s$-numbers). My question is: what is $s$-number for tensor product of two operators and how they are related to their individual's s-numbers? $s$-number is defined by $mu_t(T)=undersetE text is a projection in M text with tau(I-E)leq tinf[undersetxisup langle Txi,xirangle]$, $t$ in $(0,1)$. For more equivalent definitions one can look at Fack's paper on $s$ numbers for $tau$ measurable operators and Dykemma's paper on brown measures too. Further in hyperfinite $II_1$ factors can I approximate the $s$ numbers using the $s$ number of matrices?
operator-algebras von-neumann-algebras
asked yesterday
mathlovermathlover
161110
$endgroup$
add a comment |
$begingroup$
$T$ is an operator in $M$, $M$ is finite von Neumann algebra. There is a notion of singular value function that is ($s$-numbers). My question is: what is $s$-number for tensor product of two operators and how they are related to their individual's s-numbers? $s$-number is defined by $mu_t(T)=undersetE text is a projection in M text with tau(I-E)leq tinf[undersetxisup langle Txi,xirangle]$, $t$ in $(0,1)$. For more equivalent definitions one can look at Fack's paper on $s$ numbers for $tau$ measurable operators and Dykemma's paper on brown measures too. Further in hyperfinite $II_1$ factors can I approximate the $s$ numbers using the $s$ number of matrices?
operator-algebras von-neumann-algebras
asked yesterday
mathlovermathlover
161110
$endgroup$
add a comment |
$begingroup$
$T$ is an operator in $M$, $M$ is finite von Neumann algebra. There is a notion of singular value function that is ($s$-numbers). My question is: what is $s$-number for tensor product of two operators and how they are related to their individual's s-numbers? $s$-number is defined by $mu_t(T)=undersetE text is a projection in M text with tau(I-E)leq tinf[undersetxisup langle Txi,xirangle]$, $t$ in $(0,1)$. For more equivalent definitions one can look at Fack's paper on $s$ numbers for $tau$ measurable operators and Dykemma's paper on brown measures too. Further in hyperfinite $II_1$ factors can I approximate the $s$ numbers using the $s$ number of matrices?
operator-algebras von-neumann-algebras
asked yesterday
mathlovermathlover
161110
$endgroup$
$T$ is an operator in $M$, $M$ is finite von Neumann algebra. There is a notion of singular value function that is ($s$-numbers). My question is: what is $s$-number for tensor product of two operators and how they are related to their individual's s-numbers? $s$-number is defined by $mu_t(T)=undersetE text is a projection in M text with tau(I-E)leq tinf[undersetxisup langle Txi,xirangle]$, $t$ in $(0,1)$. For more equivalent definitions one can look at Fack's paper on $s$ numbers for $tau$ measurable operators and Dykemma's paper on brown measures too. Further in hyperfinite $II_1$ factors can I approximate the $s$ numbers using the $s$ number of matrices?
operator-algebras von-neumann-algebras
operator-algebras von-neumann-algebras
asked yesterday
mathlovermathlover
161110
asked yesterday
mathlovermathlover
161110
asked yesterday
mathlovermathlover
161110
asked yesterday
mathlovermathlover
161110
asked yesterday
mathlovermathlover
161110
161110
add a comment |
add a comment |
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