区间空间中的非紧极大极小定理

本文得到了区间空间中两类非紧极大极小定理．其结果不仅包含了引文[1-10]中的相应结果为特例，而且发展和改进了[6]中的相应结果．     

K—Bounded Sets and A—Spaces

Let(E,T)bealocallyconvexspace,asequence{xi}inEissaidtobeT-Kconvergentifeverysubsequenceof{xi}hasasubsequence{xik}suchthattheseries∑kxikisT-convergenttoanelementx∈E([1]).NotethatasequencewhichisT-KconvergentmustbeT-con-vergentto0.But,ingeneral,itisnotconversely.ThesetA(E,T)issaidtobeT-Kboundedsetifwhenever{xi}Aand{ti}isasequenceofpositivescalarswhichconvergesto0,then{tixi}isT-Kconvergent([1]).ItisclearthataT-KboundedsetisalwaysT-boundedsetbutnotconversely.ThenotionsofK-convergentand…     

Regularity and convergence of stochastic convolutions in duals of nuclear Fréchet spaces

Let Φ′ be the strong dual of a nuclear Fréchet space Φ. In this paper we present regularity properties, weak convergence, and convergence in probability and in mean square of Φ′-valued stochastic evolution equations and convolutions with respect to Φ′-valued cadlag martingales.     

RELATIVELY WEAKLY COMPACT SETS IN THE DEN JOY SPACE

Some topological Properties of the completion H of the Denjoy space are studied. In particular sufficient conditions for a subsets of H be relatively compact and characterizations for a subsets of H be restively weakly compact are given.     

ON THE SHEAF OF GENERALIZED FUNDAMENTAL GROUP AND COVERING SPACE

ＯＮ ＴＨＥ ＳＨＥＡＦ ＯＦ ＧＥＮＥＲＡＬＩＺＥＤ ＦＵＮＤＡＭＥＮＴＡＬ ＧＲＯＵＰ ＡＮＤ ＣＯＶＥＲＩＮＧ ＳＰＡＣＥ￥ＧＡＮＤＡＮＹＡＮＡｂｓｔｒａｃｔ：Ｔｈｅａｕｔｈｏｒｃｏｎｓｔｒｕｃｔｓｔｈｅｓｈｅａｆｏｆｇｅｎｅｒａｌｉｚｅｄｆｕ...     

Banach序列空间Cesp（E）的范数粗性

本文讨论了Banach序列空间Cesp(E)的范数粗性,得到了其范数强粗、粗的几个结果。     

A generalization of Gram–Schmidt orthogonalization generating all Parseval frames

Given an arbitrary finite sequence of vectors in a finite-dimensional Hilbert space, we describe an algorithm, which computes a Parseval frame for the subspace generated by the input vectors while preserving redundancy exactly. We further investigate several of its properties. Finally, we apply the algorithm to several numerical examples.      

映入E(q,p)的复合算子

§ 1 .　Introduction　　LetD ={z:｜z｜ <1}betheunitdiskofcomplexplane,H(D)bethespaceofallana lysticfunctionsonD ,denoteLebesguemeasureonDbydm ,normalizedsothatm(D) =1.Fora ∈D ,σa(z) =a-z1- az istheMobiustransformationofDtoitselfandg(z,a) =log｜1- aza-z｜istheGreenfunctionofDwithsingularityata.Everyanalyticself mapφ :D →DoftheunitdiskinducesthroughcompositionalinearcompositionoperatorCφfromH(D)toitself.Itisawell knownconsequenceofLittlewood’ssubordinationprinciple( [1],[2 ])that…     

Generation of Superpositions of Two Bloch States in an Ion Trap

We propose a scheme for the generation of superpositions of two Bloch states for a collection of ions. Inthe scheme the ions are trapped in a linear potential and interact with laser beams. Our scheme does not put anyrequirement on the Lamb-Dicke parameters.     

THE SPECTRAL THEORY OF CONTRACTIONSON PONTRYAGIN SPACES Π_k(II)

ＴＨＥＳＰＥＣＴＲＡＬＴＨＥＯＲＹＯＦＣＯＮＴＲＡＣＴＩＯＮＳＯＮＰＯＮＴＲＹＡＧＩＮＳＰＡＣＥＳΠ_ｋ（ＩＩ）￥ＹＡＮＳＨＡＯＺＯＮＧ；ＣＨＥＮＸＩＡＯＭＡＮ；ＺＨＡＮＧＪＩＡＮＧＵＯ（ＩｎｓｔｉｔｕｔｅＯｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｄａｎＵｎｌ?..