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51.
Let(E,r)bealocallyconvexHausdorfftopologicalvectorspace.AseriesZxiinEissaidtobesubseriesr-convergent(-s.c.),ifforeachstrictlyincreasingsequence{n,}inN,theseriesZx"'isT-convergent.TheseriesZx,issaidtobeunconditionallyr-convergent(r-u.c.),ifforeachpermutationffofN,theseriesZx,<,,ls.,r-convergence.rheseriesZx,issaidtobesubseriesunconditional1yT-convergent(r-s.u.c.)ifforeachstrictlyincreasingseqtience{n,}inN,theseriesZx.,isunconditionallyr-convergent.If(E,r)isasequentiallycompletespace,thenT… 相似文献
52.
P.E Kloeden 《Fuzzy Sets and Systems》1982,7(3):275-296
A fuzzy dynamical system on an underlying complete, locally compact metric state space X is defined axiomatically in terms of a fuzzy attainability set mapping on X. This definition includes as special cases crisp single and multivalued dynamical systems on X. It is shown that the support of such a fuzzy dynamical system on X is a crisp multivalued dynamical system on X, and that such a fuzzy dynamical system can be considered as a crisp dynamical system on a state space of nonempty compact fuzzy subsets of X. In addition fuzzy trajectories are defined, their existence established and various properties investigated. 相似文献
53.
We summarize and deepen existing results on systems of orthogonal pure states in the context of Jordan–Banach (JB) algebras
and C* algebras. Especially, we focus on noncommutative generalizations of some principles of topology of locally compact
spaces such as exposing points by continuous functions, separating sets by continuous functions, and multiplicativity of pure
states. 相似文献
54.
We give a new proof (and a generalization) of recent remarkable
result by V. Totik concerning the smoothness properties of the
equilibrium measure for compact subsets of the real line and the
Green function for complement of these subsets taken with respect
to the complex plane. 相似文献
55.
利用几何光学法设计优化了一种新型的用于紧缩场测试的介质透镜。以发射点到接收点的光程差为目标函数 ,对透镜的照亮面轮廓进行优化 ,得出其函数表达式 ,使得在± 2 0°扫描角范围内 ,被测系统接收到的为近似的平面波。最后将有透镜校正与没加透镜的情况进行计算比较 ,可以看出校正效果明显。 相似文献
56.
In this paper we introduce the notion of operator semirings of a -semiring to study -semirings. It is shown that the lattices of all left (right) ideals (two-sided ideals) of a -semiring and its right (respectively left) operator semiring are isomorphic. This has many applications to characterize various -semirings.AMS Subject Classification (2000): 16Y60, 16Y99 相似文献
57.
Fernando Mayoral 《Proceedings of the American Mathematical Society》2001,129(1):79-82
We characterize the compactness of a subset of compact operators between Banach spaces when the domain space does not have a copy of
58.
L. Rodrí guez-Piazza M. C. Romero-Moreno 《Transactions of the American Mathematical Society》2000,352(1):379-395
Let be a real number such that and its conjugate exponent . We prove that for an operator defined on with values in a Banach space, the image of the unit ball determines whether belongs to any operator ideal and its operator ideal norm. We also show that this result fails to be true in the remaining cases of . Finally we prove that when the result holds in finite dimension, the map which associates to the image of the unit ball the operator ideal norm is continuous with respect to the Hausdorff metric.
59.
David Chan 《Physica D: Nonlinear Phenomena》2007,234(2):98-104
We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem. 相似文献
60.
王琪 《云南师范大学学报(自然科学版)》2013,(4):29-32
首先得到一个推广的Simons积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形的一个拼挤定理,推广了Li的定理. 相似文献