A characterization of reflexive Banach spaces

A Banach space is not reflexive if and only if there exist a closed separable subspace of and a convex closed subset of with empty interior which contains translates of all compact sets in . If, moreover, is separable, then it is possible to put .

     

Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions

We present several characterizations of Kadec-Klee properties in symmetric function spaces on the half-line, based on the -functional of J. Peetre. In addition to the usual Kadec-Klee property, we study those symmetric spaces for which sequential convergence in measure (respectively, local convergence in measure) on the unit sphere coincides with norm convergence.

     

Single generator problem

Using the Stone-\v{C}ech compactification of integers, we introduce a free extension of an almost periodic flow. Together with some properties of outer functions, we see that, in a certain class of ergodic Hardy spaces , , the corresponding subspaces are all singly generated. This shows the existence of maximal weak- Dirichlet algebras, different from of the disc, for which the single generator problem is settled.

     

Abstract functions with continuous differences and Namioka spaces

Let be a semigroup and a topological space. Let be an Abelian topological group. The right differences of a function are defined by for . Let be continuous at the identity of for all in a neighbourhood of . We give conditions on or range under which is continuous for any topological space . We also seek conditions on under which we conclude that is continuous at for arbitrary . This led us to introduce new classes of semigroups containing all complete metric and locally countably compact quasitopological groups. In this paper we study these classes and explore their relation with Namioka spaces.

     

Chiral separations by capillary electromigration techniques in nonaqueous media. I. Enantioselective nonaqueous capillary electrophoresis

Enantiomer separations by CE employing nonaqueous conditions are reviewed. The general focus of this article is directed towards solvent effects on chiral recognition and the separation mechanism. After a general discussion of solvent effects on the individual processes involved in CE enantiomer separation, specifics for various selector classes are discussed together with a few applications of enantioselective nonaqueous CE.     

平行双铂丝微电极用于铁氰化钾电流滴定法测定抗坏血酸的研究

平行双柱微电极是一种基于可逆氧化还原物质在电极间反馈扩散使得信噪比进一步增大的新型微电极,作者首次将这种电极应用于电流滴定分析中。结果显示,电极间距很小时,终点突跃变敏锐,使灵敏度进一步提高。该方法不需搅拌溶液,单次测量样品量只需约3μ1,是一种有实用价值的新方法。     

双波长分光光度法同时测定贵金属钯和锇

本文提出了在对羟基苯基荧光酮和溴化十六烷基三甲烷基甲胺存在下，双波长分光光度法同时测定微量和锇的新方法，在ｐＨ＝７．６～８．０的磷酸盐介质中，钯和锇的对羟基苯基荧光酮－ＣＴＭＡＢ配合物吸收光谱相互重叠，选择测定钯配合物的波长对为５８０．５ｎｍ与５３０．５ｎｍ，测定锇配合物的波长对为５５３．５ｎｍ与６０４．５ｎｍ，钯含量在０～７．０μｇ／１０ｍＬ范围内，锇含量在０～９．０μｇ／ｍＬ范围内，与ΔＡ值呈     

双峰倍增配平法用于同步、导数-同步荧光法同时测定邻羟基苯甲酸和间羟基苯甲酸

邻羟基苯甲酸（ｏＨＢＡ）和间羟基苯甲酸（ｍＨＢＡ）荧光光谱严重重叠，同步及导数技术虽使选择性有所改善，但仍不能完全分辨开重叠谱。用双峰倍增配平计算法结合同步、一阶导数－同步荧光法对双组分体系（邻羟基苯甲酸／间羟基苯甲酸，ｐＨ１２介质）同时测定。结合计算的两种测定方法精密度、回收率和不同组分间浓度比范围均优于一阶导数－同步荧光法。     

On column injection-dual channel analysis of essential oils

A system to analyze a complex mixture simultaneously on two different columns after one single on-column injection is described. The splitting device, the possibilities of component identification by searching in a data base for Kovats indices on two different polarity stationary phases, and a practical example of an essential oil analysis are presented.     

On the minimal time function for distributed control systems in Banach spaces

In this paper, it is shown that the minimal time function is locally Lipschitz continuous for the control systemx=Ax+u in a Banach spadeE, under either of two conditions:A is linear and generates aC ₀-semigroup of bounded linear operators; orA is nonlinear, possibly multivalued, and dissipative. The main tool used for the nonlinear case is a result of Barbu concerning the null controllability of the system.