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user92646
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1 vote

If $\tau(\sum P_i) =\infty$, can we find a sequence of projections $\{Q_n\}$ from $\{P_i\}$ such that $\tau(\sum Q_n) =\infty$?

1 vote

Daletskii-S.Krein formula proof

1 vote
Accepted

In induced von Neumann algebra, do we have $P(PMP) =P\cdot P(M)P$ and $U(PMP) =P\cdot U(M)P$?

1 vote
Accepted

$X_i =P_i X_j P_i$ implies that $X_i$ converges in SOT?

0 votes

If $-A \le B\le A$, can be say that the support $s(B)$ of $B$ is smaller than $s(A)$?

0 votes

Does $\operatorname{Tr}(e^x(\lambda,\infty) x) =\operatorname{Tr}(px)$ imply that $e^x(\lambda,\infty) \le p \le e^x[\lambda,\infty)$?

0 votes
Accepted

How to prove $\|P|X|^\theta\|_{p/\theta} \le \|P|X|\|_p^{\theta}$

0 votes

Are two decreasing equimeasurable functions equal to each other a.e.?

0 votes
Accepted

$\int_0^s \log f(t)dt \le \int_0^s \log g(t)dt$ for every $s\in (0,1)$ implies that $\int_0^1 \log (f(t)+1)dt \le \int_0^1 \log (g(t)+1)dt$?

0 votes

Inequality, triangle, Law of cosines´╝î integer

0 votes
Accepted

A complex number inequality and the limitation

0 votes

Do we have the range projection $r(TP)\downarrow 0$ as $P\downarrow 0$?

0 votes
Accepted

the unitary group of von Neumann algebra

0 votes

finite projection in semifinite von Neumann algebra