For an isometric action of a finitely generated group on the ultralimit of a sequence of global Busemann nonpositive curvature spaces, we state a sufficient condition for the existence of a fixed point of the action in terms of the energy of equivariant maps from the group into the space. Furthermore, we show that this energy condition holds for every isometric action of a finitely generated gr...

The purpose of this paper is to give a regularization method to obtain the strong convergence of iterative sequence to a solution of the problem of finding a common fixed point of a finite family nonexpansive mappings in an uniformly convex and uniformly smooth Banach space.

We describe a magic-angle spinning NMR experiment for selective (13)C-(15)N distance measurements in uniformly (13)C,(15)N-labeled solids, where multiple (13)C-(15)N and (13)C-(13)C interactions complicate the accurate measurement of structurally interesting, weak (13)C-(15)N dipolar couplings. The new experiment, termed FSR (frequency selective REDOR), combines the REDOR pulse sequence with a ...

Previous studies have shown that L-ascorbic acid is extensively oxidized to respiratory CO? in rats (1, 2) and guinea pigs (3, 4). However, little information is available on the intermediates involved in the metabolism of the vitamin. In the present study experiments carried out with carboxyland uniformly labeled L-ascorbic acid point to the presence in rat kidney of an active enzyme system fo...

For the L2-orthogonal projection PV onto spaces of linear splines over simplicial partitions in polyhedral domains in Rd, d > 1, we show that in contrast to the one-dimensional case, where ‖PV ‖L∞→L∞ ≤ 3 independently of the nature of the partition, in higher dimensions the L∞-norm of PV cannot be bounded uniformly with respect to the partition. This fact is folklore among specialists in finite...

Using higher-order derivative with respect to the parameter, we will give lower bounds for variance of unbiased estimators in quantum estimation problems. This is a quantum version of the Bhattacharyya inequality in the classical statistical estimation. Because of non-commutativity of operator multiplication, we obtain three different types of lower bounds; Type S, Type R and Type L. If the par...

Consider the large systems of linear equations A h u h = f h which arise from the discretization of a second-order elliptic boundary value problem. Consider also the preconditioned systems (i) Bh − 1 A h u h = Bh 1 f h; and (ii) A h Bh 1 v h = f h , u h = Bh 1 v h where B h is itself a matrix which arises from the discretization of another elliptic operator. We discuss the effect of boundary co...

We study the lter L (A) of computably enumerable supersets (modulo nite sets) of an r-maximal set A and show that, for some such set A, the property of being co nite in L (A) is still 0 3 -complete. This implies that for this A, there is no uniformly computably enumerable \tower" of sets exhausting exactly the coin nite sets in L (A).

We prove that for a uniformly convex Lagrangian system L on a compact manifold M , almost all energy levels contain a periodic orbit. We also prove that below Mañé’s critical value of the lift of the Lagrangian to the universal cover, cu(L), almost all energy levels have conjugate points. We prove that if the energy level [E = k] is of contact type and M 6= T then the free time action functiona...

Let X be an n-dimensional compact complex manifold, L → X a positive holomorphic line bundle, and H the space of positively curved hermitian metrics on L. The purpose of this article is to prove that geodesics in the infinite-dimensional symmetric space H can be uniformly approximated by geodesics in the finite-dimensional symmetric spaces Hk = GL(Nk + 1,C)/U(Nk + 1,C), where Nk + 1 = dim(H(L))...