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101.
102.
In this paper, the similarity-invariant subspaces of B(H), which is the Banach algebra of all bounded linear operators on a separable infinite-dimensional Hilbert space H, are completely characterized and the representations of bounded linear maps on B(H) which preserve similarity in both directions are given.
Received November 3, 1999, Revised September 20, 2000, Accepted February 5, 2001 相似文献
103.
Tamás Szamuely 《K-Theory》1999,18(2):173-179
For a proper smooth variety X defined over a local field k, unramified class field theory investigates the reciprocity map X: SK1(X) ab
1(X) as introduced by S. Saito. We study this map in the case when X is a surface admitting a proper surjection onto a smooth geometrically connected curve C with a smooth conic as generic fibre. Without any assumption on the reduction of C, we prove that X is injective modulo n for all n invertible in k and its cokernel is the same as that of C. 相似文献
104.
Ranja Roy 《K-Theory》1999,17(3):209-213
In the paper Geometric K-Theory for Lie Groups and Foliations, Baum and Connes conjecture in a remark following Corollary 2 of their famous Isomorphism conjecture that for a finitely generated group with torsion, the trace map tr: K0(C*)R maps K0(C*) onto the additive subgroup of Q generated by all rational numbers of the form 1/n where n is the order of a finite subgroup of . We construct a counterexample to this conjecture. 相似文献
105.
Piotr Kicinski 《Proceedings of the American Mathematical Society》1999,127(3):783-789
It is shown that polarization formulas have explicit matrix representations. This enables us to prove that polarization formulas of -positive maps between -algebras are coordinatewise positive.
106.
Naoya Sumi 《Proceedings of the American Mathematical Society》1999,127(3):915-924
We show that on the 2-torus there exists a open set of regular maps such that every map belonging to is topologically mixing but is not Anosov. It was shown by Mañé that this property fails for the class of toral diffeomorphisms, but that the property does hold for the class of diffeomorphisms on the 3-torus . Recently Bonatti and Diaz proved that the second result of Mañé is also true for the class of diffeomorphisms on the -torus ().
107.
Given a continuous P0-function F : Rn Rn, we describe a method of constructing trajectories associated with the P0-equation F(x) = 0. Various well known equation-based reformulations of the nonlinear complementarity problem and the box variational inequality problem corresponding to a continuous P0-function lead to P0-equations. In particular, reformulations via (a) the Fischer function for the NCP, (b) the min function for the NCP, (c) the fixed point map for a BVI, and (d) the normal map for a BVI give raise to P0-equations when the underlying function is P0. To generate the trajectories, we perturb the given P0-function F to a P-function F(x, ); unique solutions of F(x, ) = 0 as varies over an interval in (0, ) then define the trajectory. We prove general results on the existence and limiting behavior of such trajectories. As special cases we study the interior point trajectory, trajectories based on the fixed point map of a BVI, trajectories based on the normal map of a BVI, and a trajectory based on the aggregate function of a vertical nonlinear complementarity problem. 相似文献
108.
Bernard Coupet Hervé Gaussier Alexandre Sukhov 《Proceedings of the American Mathematical Society》1999,127(11):3191-3200
We study rigidity and regularity properties of CR maps between smooth convex hypersurfaces of finite type in
109.
区间上平顶单峰扩张自映射的周期轨道 总被引:2,自引:0,他引:2
设t(0<t<1)是一个常数,n≥3是奇数,m≥0及k≥1是整数,P0(x)=x-1,Pi(x)=(x2i-1-1)Pi-1(x)(i≥1),rmn(t)及rk(t)分别是方程Pm(x)(x2mn-2x2m(n-2)-1)-t(x2mn-1)(x2m+1)=0及Pk-1(x)-t(x2k-1+1)=0在(1,+∞)上的唯一实根,f是闭区间I=[0,1]上的峰顶区间长度为t的平顶单峰扩张自映射.本文证明了,若f的扩张常数λ≥rmn(t)(或>rk(t)),,则f有2mn(或2k)周期点.此外,本文还指出,当1<λ<rmn(t)(或≤rk(t)时,在I上存在着具有扩张常数λ及峰顶区间长度t却无2mn(或2k)周期点的平顶单峰扩张自映射 相似文献
110.
本文对高阶奇性常微分方程的非退化边值问题建立了非共轭性存在定理和上、下解型存在定理. 相似文献