Elementary Functional Analysis
Elementary Functional Analysis
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DOI：
10.1142/7295
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发表时间：
2009-07
影响因子：
8
通讯作者：
Charles Swartz
中科院分区：
文献类型：
--
作者：
Charles Swartz
赋范线性空间和Banach空间线性算子商空间有限维赋范空间内积和Hilbert空间Hahn-Banach定理在赋范空间中的应用一致有界性原理弱收敛开映射和闭图定理投影Schauder基转置和连续线性算子的伴随紧算子Fredholm型变换算子谱紧算子谱对称算子对称算子的谱定理具有紧反有界自伴算子的对称算子正交投影的谱定理自伴算子的谱定理
Normed Linear and Banach Spaces Linear Operators Quotient Spaces Finite Dimensional Normed Spaces Inner Product and Hilbert Spaces The Hahn-Banach Theorem Applications of the Hahn-Banach Theorem to Normed Spaces The Uniform Boundedness Principle Weak Convergence The Open Mapping and Closed Graph Theorems Projections Schauder Basis Transpose and Adjoints of Continuous Linear Operators Compact Operators The Fredholm Alternative The Spectrum of an Operator Subdivisions of the Spectrum The Spectrum of a Compact Operator Symmetric Linear Operators The Spectral Theorem for Compact Symmetric Operators Symmetric Operators with Compact Inverse Bounded Self Adjoint Operators Orthogonal Projections Sesquilinear Functionals The Spectral Theorem for Bounded Self Adjoint Operators An Operational Calculus.