The Hahn–Banach Theorem for Partially Ordered Totally Convex, Positively Convex and Superconvex Modules

The Hahn–Banach Theorem for partially ordered totally convex modules [3] and a necessary and sufficient condition for the existence of an extension of a morphism from a submodule C ₀ of a partially ordered totally convex module C (with the ordered unit ball of the reals as codomain) to C, are proved. Moreover, the categories of partially ordered positively convex and superconvex modules are introduced and for both categories the Hahn–Banach Theorem is proved.     

长白山土壤腹足类物种多样性初步研究

自1993年5月至10月对吉林长白山森林生态系统定位站的土壤腹足类进行了多样性调查，据初步调查的结果显示，长白山地区土壤腹足类种类少而单调，采样区仅发现15种，隶属于腹足纲9科13属，采样区土壤腹足类物种多样性指数和丰富度指数都是5月份最低，8月份达最大值，之后逐渐减小；均匀度指数5月份最高，7月份最低；单纯度指数也是5月份最高，最低值出现在10月份，土壤表层的陆生贝类物种多样性指数高于上层。     

M.Riesz定理的注记

设u(z)是单位圆内的实值调和函数 ,若 p_平均Mp(r ,u) =12π∫2π0｜u(reiθ) ｜pdθ1 p <∞ ,则称u(z) ∈hp( 1

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