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高校图书馆公共空间设计发展研究

COMPOSITION OPERATORS FROM B^a TO F(p,q,s)

设计 2024年第2期9卷 342-348页

作者：徐帅广西幼儿师范高等专科学校，广西南宁

在全球科技化的进程中，云时代来临，大数据技术的普及催生了各行业“智慧”的理念，各类图书馆也紧跟着时代的潮流对“智慧图书馆”进行了广泛的应用实践。鉴此，传统的图书馆模式已经不能满足于时代的需求，人们需要探寻一种新的思路... 详细信息

在全球科技化的进程中，云时代来临，大数据技术的普及催生了各行业“智慧”的理念，各类图书馆也紧跟着时代的潮流对“智慧图书馆”进行了广泛的应用实践。鉴此，传统的图书馆模式已经不能满足于时代的需求，人们需要探寻一种新的思路、新的方法来更有效地获取信息。目前对于智慧图书馆的探索和其概念界定随着科技的进步与成熟，智慧图书馆所依托的是先进的信息技术、网络科技，使读者能够享受到智慧服务一体化的一个新型平台空间，智慧管理、智慧服务、网络科技和先进信息技术都是其智慧图书馆的基本构成要素。目前我国的智慧图书馆还有很多的不足之处，很大一部分会受到信息技术的限制。随着当今社会的不断发展，网络科技时代的全面普及，毫无疑问地会成为时代主流，必然对当下网络科技图书馆的建设有着举足轻重的作用。

关键词：高校图书馆智慧化功能空间网络科技 University Library Intelligence function space Network Technology

来源：博看期刊评论

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Acta Mathematica Scientia 2003年第2期23卷 252-260页

作者：姜立建何育赞 Institute of Mathematics Academia Sinica

Necessary and sufficient conditions are given for a composition operator Cof = f o o to be bounded and compact from Ba to F(p, q, s).

关键词： function space Carleson measure composition operator

GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES

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Acta Mathematica Scientia 2009年第5期29卷 1366-1374页

作者：李庆国伍秀华 College of Mathematics and Econometrics Hunan University

In this article, the authors mainly study how to obtain new semicontinuous lattices from the given semicontinuous lattices and discuss the conditions under which the image of a semicontinuous projection operator is also semicontinuous. Moreover, the authors investigate the relation between semicontinuous lattices and completely distributive lattices. Finally, it is proved that the strongly semicontinuous lattice category is a Cartesian closed category.

关键词： semicontinuous lattices strongly semicontinuous lattices semicontinuous mapping hereditary function space Cartesian closed category

ON SOME RESULTS RELATED TO SOBER spaceS

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Acta Mathematica Scientia 2023年第4期43卷 1477-1490页

作者：李庆国金梦洁苗化磷陈思恒 School of Mathematics Hunan UniversityChangsha 410082China

This paper investigates sober spaces and their related structures from different ***,we extend the descriptive set theory of second countable sober spaces to first countable sober *** prove that a first countable T_(0) space is sober if and only if it does not contain a∏_(2)^(0)-subspace homeomorphic either to S_(D),the natural number set equipped with the Scott topology,or to S_(1),the natural number set equipped with the cofinite topology,and it does not contain any directed closed subset without maximal elements ***,we show that if Y is sober,the function space TOP(X,Y)equipped with the Isbell topology(respectively,Scott topology)may be a non-sober ***,we provide a uniform construction to d-spaces and well-filtered spaces via irreducible subset systems introduced in[9];we called this an H-well-filtered *** obtain that,for a T_(0) space X and an H-well-filtered space Y,the function space TOP(X,Y)equipped with the Isbell topology is *** beyond the aforementioned work,we solve several open problems concerning strong d-spaces posed by Xu and Zhao in[11].

关键词： sober space descriptive set theory function space strong d-space product space reflection

Existence,uniqueness and stability of C^m solutions of iterative functional equations

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Science China Mathematics 2000年第9期43卷 897-913页

作者：麦结华刘新和 Institute of Mathematics Shantou University Shantou 515063 China Department of Mathematics Zhongshan University Guangzhou 510275 China In this paper we discuss a relatively general kind of iterative functional equation G( x f( x)… fn(x)) = 0 (for all x∈J) where J is a connected closed subset of the real number axis R G∈Cm( Jn+1 R) and n≥2. Using the method of approximating fixed points by small shift of maps choosing suitable metrics on functional spaces and finding a relation between uniqueness and stability of fixed points of maps of general spaces we prove the existence uniqueness and stability of Cm solutions of the above equation for any integer m≥0 under relatively weak conditions and generalize related results in reference in different aspects.

In this paper we discuss a relatively general kind of iterative functional equation G(x,f(x), ...,f n (x)) = 0 (for allx ∈J), whereJ is a connected closed subset of the real number axis ?,G∈C m (J n+1, ?) andn ≥ 2. Using the method of approximating fixed points by small shift of maps, choosing suitable metrics on functional spaces and finding a relation between uniqueness and stability of fixed points of maps of general spaces, we prove the existence, uniqueness and stability ofCm solutions of the above equation for any integer m ≥ 0 under relatively weak conditions, and generalize related results in reference in different aspects.

关键词： iterative functional equation C m map function space compact convex set flxed point diagonal method

Compact Composition Operators Mapping into the E0(p,q) spaces

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Journal of Mathematical Research and Exposition 2002年第4期22卷 538-544页

作者：刘永民徐州师范大学数学系江苏徐州221116

Composition operators are used to study the E0(p,q) spaces, which coincide with the space Qq,0 for p = 2 and the little Bloch space B0 for p > 0 and q > 1. The compactness of these operators is also considered. The cr... 详细信息

关键词： Compact operator function space composition operator Bloch space Carleson measure.

The Existence of Supporting Prices and Economic Growth under Uncertainty

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Systems Science and Systems Engineering 1998年第2期8卷 67-74页

作者： LIU Zongqian Comprehensive Techology Institute,Capital normal University,100037

In our paper we will mainly construct a stochastic model from uncertainty and establish some properties on *** will next show that the existence of supporting prices and optimal paths,and obtain some results similar t... 详细信息

关键词： uncertainty state product topology probability space function space production set utility planning support prices optimal path economic growth

The space of Maps from a Locally Compact space to a Banach space

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Acta Mathematica Sinica,English Series 1997年第3期13卷 333-336页

作者： Wang Yangeng (Department of Mathematics,Sichuan University,Chengdu 610064,China) Department of Mathematics Sichuan University

The space of continuous maps from a topological space X to a topological space Y is denoted by C（X,Y）with the compact-open *** this paper we prove that C（X,Y）is an absolute retract if X is a locally compact separable metric space and Y a convex set in a Banach *** the above fact we know that C（X,Y）is homomorphic to Hilbert space l2 if X is a locally compact separable metric space and Y a separable Banach space;in particular,C（Rn,Rm） is homomorphic to Hilbert space l2.

关键词： Absolute retract function space Infinite-dimensional manifold

HARDY space AND BERGMAN space ON THE OCTONIONS

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Analysis in Theory and Applications 2000年第3期16卷 72-84页

作者： Peng Lizhong Zhao Jiman Department of Mathematics Peking UniversityBeijing 100871PRC

In this paper, square-integrable Octonion-valued function spaces on R3 and R7 are decomposed into the direct sum of Octonion Hardy and conjugate Hardy spaces, and square-integrable Octonion function spaces on the upper half spaces R + 4 and R + 8 are decomposed into infinity direct sum of subspaces in which the first components are just the Octonion Bergman spaces. The Octonion Hardy spaces on R3 and R7 are characterized.

关键词： function space Hardy space Half space Simple function Bergman space