Introduction to functional analysis
Introduction to functional analysis
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DOI：
10.2307/2310495
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发表时间：
1959-11
期刊：
影响因子：
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通讯作者：
V. Kisil;J. Partington;D. Salinger;Filipa Soares de Almeida;Eric Borgnet
中科院分区：
文献类型：
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作者：
V. Kisil;J. Partington;D. Salinger;Filipa Soares de Almeida;Eric Borgnet
分析了赋范线性空间和这些空间之间的线性映射的理论，为在许多分析领域的进一步研究提供了必要的基础。致力于产生一个抽象的线性空间的观点在调查线性代数，经典分析，微分和积分方程的问题的统一力量的赞赏。这第二版纳入了最近的发展，在功能分析，使主题的选择更适合当前课程的功能分析。这个新版本的补充包括：一章Banach代数，材料弱拓扑和对偶，等度连续性，克莱因-米尔曼定理，和理论的Fredholm运营商。更大的重点也放在封闭的无界线性算子，更多的插图来自常微分方程。
Analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations. This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.