Sentence examples for finite factor from inspiring English sources

We also show that there is no such example with M or ˆM a finite factor.

We prove that these inequalities are in fact true for elements of an arbitrary finite factor.

We also investigate the extreme points of N(M), the convex compact set (in the pointwise weak topology) of normalized unitarily invariant norms (the norm of the identity operator is 1) on a finite factor M. We obtain all extreme points of N M2(C)) and some extreme points of N(Mn(C)) (n⩾3).

Let Mn be a sequence of finite factors with dim(Mn)→∞ and denote by M="∏ωMn their ultraproduct over a free ultrafilter ω.

Examples of tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property include unitarily invariant norms on finite factors (type II1 factors and Mn(C)) and symmetric gauge norms on L∞[0,1] and Cn.

As the third application, some classical results in non-commutative Lp-theory (e.g., non-commutative Hölder's inequality, duality and reflexivity of non-commutative Lp-spaces) are obtained for general unitarily invariant norms on finite factors.

In the case when M is a semifinite non-finite factor, we show that our assumptions on E 0,∞) are sharp.

At last, to map the monitoring results with the damage factor, finite element analysis is used to simulate the process of steel corrosion to determine the cracking strain of the interfacial concrete and concrete cover.

In particular, this paper focuses on the influence of the finite element peaking factor (FEPF) that converts the heat flux predicted by CHF correlations into a plasma heat flux that can be measured.

In order to determine individual safety factors, finite element modeling is employed for different structural subsystems and the results of numerical analyses are obtained in different design scenarios.

Meanwhile, based on finite element analysis, loss factor of the damped flexure hinge and its mathematical model are verified.